The Massachusetts Legislature, after a struggle of four months, succeeded in electing a U. S. Senator on the 24th of April. Charles Sumner, Esq., the Free Soil Candidate, was chosen on that day, by 193 votes, precisely the number necessary for election. The Boston Board of Aldermen, who had passed a resolution refusing the use of Faneuil Hall for a public address by Daniel Webster, have since then retracted the step and concurred with the Common Council in inviting Mr. Webster to address the citizens of Boston. Faneuil Hall, hereafter, is to be granted on all occasions, at the application of one hundred voters. Before leaving Boston, Mr. Webster delivered a speech to the citizens of Boston, from the steps of the Revere House.

The Legislature of New-York adjourned on the 17th of April. The question of the enlargement of the Erie Canal was before the Senate, when twelve of the Democratic members of that body resigned their seats in order to prevent the passage of the bill, by leaving the senate without a quorum. The usual annual appropriations had not been voted, and the Government was thus placed without the means of sustaining its operations. An extra session of the Legislature has been called by Governor Hunt, for the 10th of June. Elections have been ordered, in the mean time, to fill the vacancies caused by the resignation of the Senators. The Members of the Assembly, of both parties, published manifestoes in relation to the question.

The Atlantic Coast and the Lakes have been visited this spring with a succession of tremendous gales, which have done an immense amount of damage in various quarters. A storm arose along the Northeastern coast, on the 15th of April, and at noon on the following day the tide was higher at Boston than had ever been known before. On the principal wharves of the city the water was three or four feet deep, and the streets were so flooded that a large boat could be rowed around the Custom House. An immense amount of damage was done to private property, and many lives were lost. The railroad tracks all around the city were submerged, and in many places torn up and washed away. All along the coast, from New Bedford to Portland, the gale raged with nearly equal violence, causing much injury to the shipping. The loss of property is estimated at more than one million of dollars.

On the night of the 17th of April, the third day of the storm, the light-house on Minot's Ledge, at the entrance of Boston harbor, was carried away, and the two men in it at the time drowned. Mr. Bennett, the keeper, who had been to Boston, was prevented from returning to it by the rough sea, and thus escaped. It was formed of wrought iron bars, riveted into the rock, and rising to the height of sixty feet, having chambers in the upper part for the keeper and his assistants. The light-house had been severely tested in the late equinoctial storm, and was considered secure.

His Excellency, President Fillmore, accompanied by the Hon. Daniel Webster, Secretary of State; Hon. William A. Graham, Secretary of the Navy; Hon. J. J. Crittenden, Attorney General; and Hon. N. K. Hall, Postmaster General, left Washington on the 12th of May, in order to be present at the opening of the Erie Railroad from New-York to Dunkirk. They were received with great enthusiasm on the way; at Baltimore and Wilmington they were officially welcomed, and were met at the latter place by the Mayor and Common Council of Philadelphia, who escorted them to that city.

Here the people turned out to give them a public reception, and speeches were made by the President and Mr. Webster. On their way to New-York they were met at Amboy by the Erie Railroad Company's steamer and conveyed to the city, saluted on the way by national salutes from the forts in the harbor, and the military companies of the city, who were drawn up on the Battery, to receive the distinguished visitors. The ceremonies of welcome were performed in Castle Garden, where the President and Secretaries were welcomed by Mayor Kingsland. Eloquent speeches were made in return by the President, Mr. Webster, and Mr. Crittenden. A military procession more than a mile in length, was then formed, and marched through the principal streets, which were thronged with spectators. Flags were waving from every point, and as the day was remarkably bright and warm, the spectacle was one of unusual life and animation.

The Company's boat left New-York at 6 o'clock on the morning of the 14th, having on board the President and Secretaries, all the principal State officers except Governor Hunt, the officers of the Erie Railroad Company, a large representation from the State Senate and Assembly, and both boards of the Common Council of the city, besides a number of other distinguished persons. At Piermont, three special trains received the company, 600 in all, and the grand march of 450 miles, through what was lately the wilderness of the State, from the Hudson to Lake Erie, commenced. All along the line of the road the people turned out en masse, cannons were fired and bells rung as the trains passed, and triumphal arches erected over the road. Brief addresses were made at the principal stations by the President, Mr. Webster, Mr. Seward, Mr. Crittenden, and other distinguished guests. The trains stopped at Elmira for the night, and proceeded next day to Dunkirk, which they reached in the afternoon. Here the crowning celebration was made. All the country, far and near, arose to hail the completion of the greatest railroad enterprise in the world. After the meeting, a grand barbecue was held: two oxen and ten sheep were roasted whole, and the company regaled on a magnificent scale. The day following this opening excursion, the regular passenger trains commenced running from New-York to Dunkirk. The distance between the Ocean and Lake Erie is now but a summer's day.

In the Connecticut Legislature the Democratic candidate for Governor, Mr. Seymour, was elected by a majority of one vote. The Legislature of Rhode Island, on the 10th of May, restored to Ex-Gov. Dorr, (well-known as the leader of "Dorr's Rebellion,") all the rights and privileges of a citizen.

M. Bois Le Compte, the French Minister at Washington, who has been recalled by his Government, took leave of the President on the 2d of May, and will shortly return to France.

Jenny Lind reached New-York in the beginning of May, after a triumphant tour of five months in the South and West. She commenced a series of farewell concerts on the 7th. She was received with as full a house and scarcely less enthusiasm than on the night of her first appearance in America. The Firemen of the city, in return for her donation of $3000 to the Widows' and Orphans' Fund, have presented her with a resolution of thanks inclosed in a gold box, and a copy of Audubon's Birds of America in a rosewood case.