A short time previous to his leaving the family of Washington he had formed an engagement with the second daughter of Gen. Philip Schuyler, of New-York, to whom he was married on the 14th of December, 1780, at the residence of her father at Albany, and thus became permanently established in New-York. His union with this lady was one of unbroken happiness, and at a venerable age she still survives him. His rank in the army was soon after advanced, and an opportunity for exhibiting his military skill and prowess, which he had so ardently wished for, was shortly presented. The falling fortunes of the British army in the south, under Lord Cornwallis, invited an attack in that quarter. The combined French and American forces were fast closing up every avenue of retreat, and the British commander finding that to avoid a general engagement was impossible, at last intrenched himself at Yorktown with the determination of making a final stand against the victorious progress of the American arms. In the decisive battle which succeeded, Hamilton signalized himself by a most brilliant achievement. Two redoubts in the fortifications of the enemy were to be carried in face of a most destructive fire. The attack upon one of them was assigned to a detachment of the French troops, and that upon the other to a division of the American forces. The command of the latter, at his earnest request, was given to Hamilton. At the appointed signal he "gave the order to advance at the point of the bayonet, pushed forward, and before the rest of the corps had ascended the abatis, mounted over it, stood for a moment on the parapet with three of his soldiers, encouraging the others to follow, and sprung into the ditch. The American infantry, animated by the address and example of their leader, pressed on with muskets unloaded and fixed bayonets. They soon reached the counterscarp under a heavy and constant fire from the redoubt, and, surmounting the abatis, ditch, and palisades, mounted the parapet and leaped into the work. Hamilton, who had pressed forward, followed by the rear-guard under Mansfield, was for a time lost sight of, and it was feared he had fallen; but he soon reappeared, formed the troops in the redoubt, and as soon as it surrendered gave the command to Major Fish. "The impetuosity of the attack carried all before it, and within nine minutes from the time the abatis was passed the work was gained."[14] This brilliant exploit received the decisive commendation of Washington. "Few cases," said he, "have exhibited greater proofs of intrepidity, coolness, and firmness than were shown on this occasion."