A very near connection, by marriage, of our own family, then living where what was, lately, Hall's Tavern, at Hall's-corners, now known as Elmsford, on the road leading from the White Plains to Tarrytown, told ub, many years ago, that he heard that severe cannonade, and saw the smoke occasioned by it, and very clearly remembered it ; and, as may be reasonably supposed, under such circumstances, he regarded it as something more than ordinarily terrible. ■

What we have said concerning the extent of time thus occupied by the Hessian Artillerists, in their cannonade of the Americans, was authorized by Colonel Haslet, in his letter to General Rodney, already referred to ; by Campbell's Revolutionary Sei-vices and Civil Life of General William Hull, 54 : etc.

WESTCHESTEK COUNTS'.

standard military maxim, of that period, which required the immediate removal of everything which might, possibly, jeopardize a flank or the rear of a column, no matter how insignificant it might otherwise be ; and, undoubtedly, with the concurrence of the impromptu Council, of which mention has been made, General Howe determined to dislodge the Americans who had occupied Chatterton's-hill, before he proceeded further, in hia movement against the main body of the American Army, then within its line of entrenchments, and awaiting his evidently intended assault. With that purpose in view, the main body of the Royal Army was ordered to rest on its arms, on the Plain, within a mile, and in open sight, from the American lines ; orders were issued for a Battalion of Hessians to pass over the Bronx-river, 1 supported by the Second Brigade of British troops, composed of the Fifth, Twenty-eighth, Thirty-fifth, and Forty-ninth Begiments of Foot, commanded by Brigadier-general Leslie; and by the Brigade of Hessians, composed of Linsing's, Mingerode's, Lengereck's, and Kochler's Begiments of Grenadiers and his own Begiment of Chasseurs, commanded by Colonel Donop -- the last mentioned Brigade to be taken from the right of the Army, where it had been posted -- for the purpose of assaulting the position on Chatterton's-hill, in front ; and Colonel Ball was ordered to move the Brigade which he commanded, on a charge, on the right of the Americans, simultaneously with the movement of the Hessian forlorn-hope and its supporting parties, on their front. 2