You doubtless have heard of the engagement between our fleet on the Lake, and the enemy, on the 11th instant. Our advice left them the 12th, our fleet then at anchor near Schuyler's Island, in a Battered and leaky condition; the enemy just appearing in sight, beating up with a light southerly breeze. Events since have been very unfavourable: Our fleet made but little tarry at anchor, only to stop their leaks &c. and proceeded with all the dis- patch their condition would admit of, towards Crown Point. A favourable northerly gale assisted the enemy to run up with the fleet when a second engagement commenced, which lasted five glasses, most of the time in musket shot, very warm and sharp, in which our men conducted with inimitable spirit and bravery, but were obliged to submit to superior strength. In this affair our fleet is almost totally ruined; only one galley escaped, with sloop Enterprise, and two small schooners, and one gondola. ー the rest all taken, burnt and destroyed. General Arnold fought as long as possible in the galley Congress, when he was obliged to run her ashore, burn her, and escape by land to Tyconderoga, having lost 20 of his men. General Waterbury in the Washington Galley, fought till he was so shattered that the galley was sinking under him, and was obliged to strike; this is the only vessel that the enemy possessed themselves of Col. Wigglesworth, in the Trumbull galley is arrived at Ticonderoga. ー In both engagements we have lost a large schooner ー three galleys burnt and taken, 8 gondola's burnt also; ー have remaining a sloop 12 guns, 6 schooners, 8 guns each, 2 galleys 1 gondola. The enemy's fleet is amazing ー one ship 18 twelve pounders, 1 schooner, 14 six pounders, 1 ditto, 12 ditto, 3 large radeaux 6 twenty four pounders ー 12 twelve pounders ー 4 eight inch howitzers, all brass; 28 gondola's, 1 gun each, twelve, eighteen and twenty-four pounders, 1 eight inch howitzer; our people are all [returned] to Ticonderoga, where they may very soon expect an attack.