This act is one of the most philanthropic and beneficent ever passed by any legislative body. It has been ably and zealously pressed upon the attention of Congress by Miss Dix, whose devotion to the cause of humanity has already won for her a world-wide reputation. Elections of United States Senators have been held in several of the States with various results. In FLORIDA, on the 15th of January, Mr. MALLORY, Democrat, was elected over Mr. YULEE. In MISSOURI, after a protracted effort, HENRY S. GEYER, Whig, was elected on the fortieth ballot, receiving 80 votes against 55 for Mr. BENTON, and 20 scattering. Mr. GEYER is a German by birth, but came to this country when he was about three years old. He is now one of the ablest lawyers and most upright men in the State which he is hereafter in part to represent. In PENNSYLVANIA, Mr. BROADHEAD, Democrat, was elected without serious difficulty. In NEW YORK both branches of the Legislature proceeded to nominate a Senator in accordance with the law upon the subject, on the 4th day of February. In the Assembly HAMILTON FISH was nominated, receiving 79 votes against 48 for other candidates. In the Senate he had 16 votes, while 16 Senators voted each for a separate candidate, one of them, Senator BEEKMAN from New York City, being a Whig. After two ballotings, on Mr. Beekman's motion, the Senate adjourned. No nomination has been made, nor can the attempt be renewed, except by the passage of a special law. In MASSACHUSETTS repeated efforts to elect a Senator have proved unsuccessful. CHARLES SUMNER, Free Soil, has several times lacked but three or four votes of an election, Mr. WINTHROP being his principal opponent. The vacancy occasioned by Mr. Webster's resignation has been filled by the election of Hon. ROBERT RANTOUL. Mr. BOUTWELL was elected Governor of the State by the Legislature. The effort to elect a Senator for the next term will be renewed from time to time. In RHODE ISLAND, after several ballotings, in which two Whigs and one Democrat received about an equal number of votes each, CHARLES T. JAMES, Esq., Democrat, was elected, having received a large number of Whig votes. In OHIO, an attempt to elect a Senator to succeed Mr. EWING, proved ineffectual. Ten ballots were had, after which the Legislature adjourned, thus abandoning the effort. In MICHIGAN General CASS has been re-elected United States Senator by the Legislature.