At the siege of York-Town, where Lord Cornwallis with a large British army was attacked and taken by the Americans, Lafayette was particularly distinguished for activity and courage. And a more minute account of this affair is necessary, in recording the useful and brilliant services of this youthful hero in the cause of America, which her sons wish most gratefully to recollect.--General Washington in person commanded the American army on this occasion, in pursuance of a plan he had adopted, as already mentioned. He proceeded to the camp in the vicinity of York-Town, where Cornwallis was posted, the last of September. He was assisted by Major Generals Lincoln, Steuben, Lafayette. Knox, &c. The French troops, who composed a part of the army engaged in the capture of Cornwallis were under command of Count Rochambeau, who had the character of an intelligent and brave officer. The whole number of troops, both American and French, was estimated at twelve thousand. To them, however, were occasionally added small detachments of the militia from the vicinity. The British troops were computed to be about seven thousand, and their commander had been strengthened in his situation by fortifications, hoping to defend himself till he might receive succors from New-York. The allied army was supported in this expedition by a large French fleet which was in the Chesapeake. This afforded great confidence to the Americans, for they had just then defeated the British fleet in those waters, and thus effectually cut off all communication between Lord Cornwallis and the British army in New-York. The French admiral had been determined to proceed at this time, to a station in the West Indies, agreeably to orders which he had received from the King his master, some weeks before. He was requested to remain, and co-operate in this expedition, by Count Rochambeau, and by Washington himself; but they could not prevail with him to relinquish his proposed departure for the West Indies; and it was only through the most zealous and repeated solicitations of Lafayette, with a solemn promise that he would justify the measure to the Court of France, that the admiral, Count de Grasse, was induced to continue on the station, by which the capture of the British army was greatly facilitated.