The invaluable service of the telegraph was tested to-day, not merely in enabling General Brown and the commissioners to despatch men quickly to a threatened point, but to keep a force moving from one ward to another, as messages came in, announcing the incipient gathering in different districts. Word sent to the station in the neighborhood where they were acting, would instantly change their route; and knots of men, which if left alone would soon have swelled into formidable mobs, were broken up, for they found military and police force marching down on them before they could form a plan of action. Nor was this all. A force sent to a certain point, after dispersing the mob, would be directed to make a tour through the disaffected districts—all the time keeping up its communication with head-quarters, so that if any serious demonstration was made in that section of the city, it could be ordered there at once, thus saving half the time it would take to march from head-quarters. Thus, for instance, Captain Petty was ordered this morning to head-quarters from the City Hall, where he had passed the night, and directed to take two hundred men (including his own precinct force), and go to the protection of a soap factory in Sixteenth Street, Eighth and Ninth Avenues. He moved off his command, marching rapidly up Broadway and down Sixteenth Street. The mob saw it coming two blocks off, and immediately scattered in every direction, which awakened the supreme contempt of the captain. He now marched backward and forward, and through the cross streets, up as far as Nineteenth Street, scattering every fragment of the mob that attempted to hold together, and finally returned to head-quarters. This was a long march, but the men had scarcely rested, when the captain was hurried off to aid in the protection at the wire factory in Second Avenue. In the fierce fight that followed, he, with ten men at his back, charged up the broad stairway, fighting his way step by step to the fifth story. Caught up here at the top of the building, the rioters were clubbed without mercy. Some, to escape the terrible punishment, plunged down the hatchway; others attempted to dash past the men, and escape down the stairs. At one time eight bodies lay in the door-way, blocking it up. He then marched back to head-quarters. He had been marching and fighting all day. Similar exhausting duties were performed by other commands, both police and military. Inspector Dilks, with his force gathered from various precincts, passed the entire day in marching and fighting. The men, weary and hungry, would reach head-quarters or certain points, hoping to get a little rest and refreshment, when the hurried order would come to repair to a point a mile off, where the mob was firing and sacking houses, and off they would start on the double-quick. Uncomplaining and fearless of danger, and never counting numbers, both police and soldiers were everywhere all this day, and proved themselves as reliable, gallant, and noble a set of men as ever formed or acted as the police force of any city in the world.

In the meantime, Governor Seymour and the Mayor of the city were not idle. The latter at the City Hall, fearing an attack, asked Acton for a guard of protection, and fifty men were sent him. Report of the mob assembled there, reached Governor Seymour, at the St. Nicholas, and he immediately hastened thither, and addressed the crowd from the steps, which allayed excitement for the time. This speech was variously commented upon. Some of the criticisms were frivolous, and revealed the partisan, rather than the honest man. If the Governor had not previously issued a proclamation to the whole city, in which he declared without reservation that the mobs should be put down at all hazards—if this speech had been his only utterance, then the bitter denunciations against him would have been deserved. It would have been pusillanimous, cowardly, and unworthy the Governor of the State. But he spoke in his official capacity, not only firmly, emphatically, and in no ambiguous terms, but he had hurried up the military, and used every means in his power to accumulate and concentrate the forces under his control to put down the riot. No faint-heartedness or sentimental qualmishness marked any of his official acts. Prompt, energetic, and determined, he placed no conditions on his subordinates in the manner of putting down the mob, and restoring the supremacy of the law. But here in this address he was speaking to men who, as a body at least, had as yet committed no overt act; and many doubtless were assembled expecting some public declaration from the City Hall. He was not addressing the plunderers and rioters that were firing houses and killing negroes, but a mixed assembly, the excitement of which he thought best to allay, if possible. Some said he began his address with "My friends;" others, "Fellow-citizens." Whether he did one, or the other, or neither, is of no consequence and meant nothing. To have commenced, "Ye villains and cut-throats, disperse at once, or I'll mow you down with grape-shot!" might have sounded very brave, but if that was all he was going to say, he had better kept his room.

A proclamation like this address would have been infamous. Here is where the mistake was made in the criticisms heaped upon it. His official acts were all such as became the Chief Magistrate of New York. The speech, therefore, must be judged rather by the rules of taste and propriety, than, by those which apply to him officially. If a man's official acts are all right, it is unjust to let them go for nothing, and bring into prominence a short address made without premeditation in the front of an excited, promiscuous assembly, moved by different motives. That it was open to criticism in some respects, is true. It should have been imbued more with the spirit of determination to maintain order and suppress violence, and less been said of the measures that had or would be taken to test the constitutionality of the draft, and of his purpose, if it were decided in the courts to be wrong, to oppose it. Such talk had better be deferred till after order is restored. When men begin to burn and plunder dwellings, attack station-houses, hang negroes, and shoot down policemen, it is too late to attempt to restore peace by talking about the constitutionality of laws. The upholding of laws about the constitutionality of which there is no doubt, is the only thing deserving of consideration. The Common Council of the city exhibited in this respect a most pusillanimous spirit, by offering resolutions to have the constitutionality of the law tested, when, the entire constitution and laws of the State were being subverted! Unquestionably, some charity should be extended to men who are pleading for those whose votes elevated them to office. Brutuses are rare nowadays; and politicians do not like to shoot down their own voters—they would much rather make more voters out of men no more fit to exercise the right of suffrage than horses and mules.

Governed by a similar spirit, Archbishop Hughes, although he had yielded to the pressure made on him and issued an address to the Irish, calling on them to abstain from violence, yet accompanied it with a letter to Horace Grreeley, directly calculated to awaken or intensify, rather than allay their passions. He more than intimated that they had been abused and oppressed, and thought it high time the war was ended. The proclamation was short, but the letter was a long one, full of a vindictive spirit, and showing unmistakably with whom his sympathies were.

Towards evening a mob assembled over in Ninth Avenue, and went to work with some system and forethought. Instead of wandering round, firing and plundering as the whim seized them, they began to throw up barricades, behind which they could rally when the military and police came to attack them. Indeed, the same thing had been done on the east side of the city; while railroads had been torn up, and stages stopped, to keep them from carrying policemen, rapidly from one quarter to another. During the day, Colonel Frothingham had stood in Third Avenue, and stopped and emptied every car as it approached, and filled it with soldiers, to be carried to the upper part of the city. Acton, too, had sent round to collect all the stages still running in Broadway and the Bowery, and in a short time they came rumbling into Mulberry Street, forming a long line in front of head-quarters. A telegram from Second Avenue demanded immediate help, and the police were bundled into them and hurried off. One driver refused to stir, saying, roughly, he was not hired to carry policemen. Acton had no time to argue the case, and quickly turning to a policeman, he said: "Put that man in cell Number 92." In a twinkling he was jerked from his seat and hurried away. Turning to another policeman, he said: "Mount that box and drive." The next moment the stage, with a long string of others, loaded inside and out with the bluecoats, was whirling through the streets. He had done the same with the Sixth Avenue cars. The son-in-law of George Law remonstrated, saying that it would provoke the mob to tear down the railroad buildings. There was no time to stand on ceremony; the cars were seized, and the company, to save their property, paid a large sum to the ringleaders of the rioters. In fact, a great many factories and buildings were bought off in the same way; so that the leaders drove quite a thriving business.

But, as before remarked, the commencement of barricades to obstruct the movements of the police and military, after the Parisian fashion, was a serious thing, and must be nipped in the bud; and Captain Walling, of the Twentieth Precinct, who had been busy in this part of the city all the afternoon in dispersing the mob, sent to head-quarters for a military force to help remove them. He also sent to General Sandford, at the arsenal, for a company of soldiers, which was promised, but never sent. At six o'clock a force of regulars arrived from General Brown, and repaired to the Precinct station-house. Captain Slott, of the Twentieth Precinct, took command of the police force detailed to cooperate with the troops, but delayed action till the arrival of the company promised from the arsenal. Meanwhile, the rioters kept strengthening the barricades between Thirty-seventh and Forty-third Streets, in Eighth Avenue, by lashing carts, wagons, and telegraph poles together with wire stripped from the latter. The cross streets were also barricaded. Time passed on, and yet the bayonets of he expected reinforcement from the arsenal did not appear. The two commanding officers now began to grow anxious; it would not do to defer the attack till after dark, for such work as was before them required daylight. At length, as the sun stooped to the western horizon, it was resolved to wait no longer, and the order to move forward was given. As they approached the first barricade, by Thirty-seventh Street, a volley as poured into them from behind it, followed by stones and brick-bats.

The police now fell back to the left, and the regulars advancing, returned the fire. The rioters, however, stood their ground, and for a time nothing was heard but the rapid roll of musketry. But the steady, well-directed fire of the troops, at length began to tell on the mob, and they at last broke, and fled to the next barricade. The police then advanced, and tore down the barricade, when the whole force moved on to the next. Here the fight was renewed, but the close and rapid volley of the troops soon scattered the wretches, when this also was removed. They kept on in this way, till the last barricade was abandoned, when the uncovered crowd broke and fled in wild disorder. The soldiers pressed after, breaking up into squads, and chasing and firing into the disjointed fragments as they drifted down the various streets.

There was more or less disturbance in this section, however, till midnight. At nine o'clock, an attack was made on a gun and hardware store, in Thirty-seventh Street, between Eighth and Ninth Avenues, but Sergeant Petty was sent thither with a small force, and scattered them at the first charge. At midnight, an attempt was made to destroy the colored church in Thirtieth Street, between Seventh and Eighth Avenues; but before the rioters had accomplished their work, Captain Walling, with his entire force and the regulars, came up, and though met with a volley, fell on them in such a headlong charge, that they scattered down the street.

All this time the arsenal presented the appearance of a regular camp; videttes were kept out, sentries established, howitzers commanded the streets, and everything wore the look of a besieged fortress.

Sandford, whom Wool wished to take command of all the troops, evidently thought that he had as much as he could do to hold that building, without doing anything to quell the riot in the city.