NEBEW-YORK, April, _ Sloop Resolution, Gardiner, from St. Kitts in 21 days,, cargo sall. Sailed under con voy of the United States sloop of war Mer rimack, in company with 30 sail of Ameri can vessels. . Schooner Federal, .Capt. Beckley, from a March 28, spoke brig Almira, apt. Fawson, from Bahamas, mounting 14 guns, 7 days out, bound,to Norfolk, who informed that Admiral, Vandeput died on the 1ath of March; and that his remains were sent to New Providence for interment. The trial of Levi Weeks, for the murder of Juliana Elmore Sands, which came on before the court of Oyer and Terminer on Monday last, ended this morning, about half past two o'clock. ‘The vague reports which had been in circulation from the time of her body being discovered, until the hour of trial, had irritated the public mind in such a manner as to draw to the place of justice a large concourse of people, and rendered it somewhat difficult at first for the court to proceed to business. _ After the examination of the witneses, which occupied two whole days, the count for Mr. Weeks, without a single remark upon the testimony, submitted his case to the charge of the court. Mr. Chief Jushes Lansing, after commenting on the evidence, delivered to the Jury the unanimous opinion of the court that Mr. Weeks was not guil ty. The Jury, which was as respectable , ever appeared in this city, retired, and after appointing a foreman, returned in less than four minutes a verdic of not guilty. It must be a pleasing circumstance to this young man, whose character,on the trip! appeared irreproachable and uncommonly amiable, and to his respectable connexions, that he does not owe his acquittal to the eloquence of counsel, but solely and entirely to the clear and unequivocal proof he pro duced of his innocence. The property of the citizens of the United States, crossed the ocean in 1799, is esti mated at ONE HUNDRED AND EIGHT MILLIONS OF DOLLARS. It is not erring to say, our Navy has prevented one quarter of this immense sum falling into the hands of the French, and other free-booters. AMERICAN GALLANTRY. By the schooner Eliza, Capt. Fairchild, arrived here yesterday morning from the Havanna, we are informed, that the ship Nancy, Capt. Joy, of Boston, had just arri