'' October Dth. -- Our general's division was formed in line, with its advance, reserve flank-guards, and artillery, all in order of battle, when they were moved down over the different grounds, which it was supposed might be the scene of action. Some of this ground was very broken, and there were many fences. These afforded frequent opportunities for the troops to break off and form, for the pioneers to open avenues, &c., and for the whole to become acquainted with every part of the ground, and the best choice of it, if suddenly called to action."

" OcTOBEU 12rn.-- Early in the morning eighty or ninety British boats, full of men, stood up tlie Sound, from Montresor's Island, Long Lsland, &c. The tioop.s landed at Fr()g's Neck, and their advance pushed towards the causeway ar.d bridge at Westchester mill. Col. Hand's riflemen took up the planks of the bridge, as hail been directed, and commenced a firing with their rifles. The British moved towards the head of the creek, but found here also the Americans in possession of ihe pass. Our general immediately, (as he had assured Col. Hand he would.) ordered Col. Prescoft, the hero of Bunker Hill, with his reigment, and Capt. Lieut. Bryant, of the artillery, with a three pounder, to reinforce the riflemen at Westchester causeway, and Col. Graham of the New York line, with bis regiment, and Lieut. Jack.<;on of the artillery, with a si.v pounder, to reinforce at the head of the creek ; all of which was promptly done, to the check and disappointment of the enemy. The British encamped on the neck. The rifleraen and yagers kept up a scattering popping at each other across the marsh ; and the Americans on their side, and the British on the other, threw up a work at the end of tlie caiiseway.