By telegraph we learn that one of Bragg’s batteries, on Lookout Mountain, opened fire on the Federals in Chattanooga on the 5th inst., which was replied to briskly.

Night before last an attempt was made to destroy the enemy’s steamer Ironsides at Charleston, but failed. The torpedo, however, may have done it some injury.

From Lee and Meade we have nothing.

A rather startling letter was read by the Secretary of War to-day from ——, Lieut.-Gen. Bragg’s ——d in command. It was dated the 26th of September, and stated that Chickamauga was one of the most complete victories of the war, but has not been “followed up.” On the 21st (day after the battle), Gen. Bragg asked Gen. ——’s advice, which was promptly given: “that he should immediately strike Burnside a blow; or if Burnside escaped, then to march on Rosecrans’s communications in the rear of Nashville.” Gen. Bragg seemed to adopt the plan, and gave orders accordingly. But the right wing had not marched more than eight or ten miles the next day, before it was halted, and ordered to march toward Chattanooga, after giving the enemy two and a half days to strengthen the fortifications. Bragg’s army remains in front of the enemy’s defenses, with orders not to assault him. The only thing Bragg has done well (says Gen. ——) was to order the attack on the 19th of September; everything else has been wrong: and now only God can save us or help us—while Bragg commands. He begs that Gen. Lee be sent there, while the Army of Virginia remains on the defensive, to prosecute offensive measures against Rosecrans. He says Bragg’s army has neither organization nor mobility; and B. cannot remedy the evil. He cannot adopt or adhere to any course, and he invokes the government to interpose speedily. This letter is on file in the archives.

The question now is, who is right? If it be ——, Bragg ought certainly to be relieved without delay; and the President cannot arrive in the field a moment too soon. As it is, while others are exulting in the conviction that Rosecrans will be speedily destroyed, I am filled with alarm for the fate of Bragg’s army, and for the cause! I am reluctant to attribute the weakness of personal pique or professional jealousy to ——; yet I still hope that events will speedily prove that Bragg’s plan was the best, and that he had really adopted and advised to the wisest course.

October 9th.—From the West we have only unreliable reports of movements, etc.; but something definite and decisive must occur shortly.

Gen. Lee’s army crossed the Rapidan yesterday, and a battle may be looked for in that direction any day. It is said Meade has only 40,000 or 50,000 men; and, if this be so, Lee is strong enough to assume the offensive.

To-morrow the departments will be closed for a review of the clerks, etc., a piece of nonsense, as civil officers are under no obligation to march except to fight, when the city is menaced.

The mechanics and non-producers have made a unanimous call (in placards) for a mass meeting at the City Hall to-morrow evening. The ostensible object is to instruct Mr. Randolph and other members of the Legislature (now in session) to vote for the bill, fixing maximum prices of commodities essential to life, or else to resign. Mr. Randolph has said he would not vote for it, unless so instructed to do. It is apprehended that these men, or the authors of the movement, have ulterior objects in view; and as some ten or twelve hundred of them belong to the militia, and have muskets in their possession, mischief may grow out of it. Mr. Secretary Seddon ought to act at once on the plan suggested for the sale of the perishable tithes, since the government is blamed very much, and perhaps very justly, for preventing transportation of meat and bread to the city, or for impressing it in transitu.

Capt. Warner, who feeds the prisoners of war, and who is my good “friend in need,” sent me yesterday 20 odd pounds of bacon sides at the government price. This is not exactly according to law and order, but the government loses nothing, and my family have a substitute for butter.