[Sept. 11.] By day-break the next morning, the British army advances in two columns; the right under the command of gen. Knyphausen, which marches directly for Chad’s Ford. A party is moved on to dislodge Maxwell, which he repulses; they are reinforced, and come on a second time without succeeding. On this a strong detachment is sent round a piece of woods to come upon his flank, while the other attack him anew in front. Perceiving this movement, he retreats across the river with a trifling loss. Gen. Knyphausen keeps up a cannonade, and an appearance of forcing the ford, till he shall hear that the left column has attacked the Americans, and then he means to attempt it. This second column, under the command of lord Cornwallis, generals Grey, Matthews and Agnew, marches for the forks of the Brandywine. The movement is early observed. Gen. Sullivan writes to the commander in chief, that it is clearly his opinion, that the enemy will come round on their right flank. He sends him two messengers in the forenoon confirming the same. Lient. col. James Ross forwards, at eleven o’clock, from Great-Valley road, this intelligence—“A large body of the enemy, from every account five thousand, with sixteen or eighteen field-pieces, marched along this road just now. Their front must be now at the ford; we are close in their rear, with about seventy men. I believe general Howe is with this party, as Joseph Galloway was here known by the inhabitants, with many of whom he spoke, and told them that general Howe was with him.” Other accounts corroborating the movement of the second column toward the forks, gen. Washington settles it with gen. Greene, that he shall cross with his division, at the lower ford, and attack gen. Knyphausen. He at the same time sends word to Sullivan to cross the Brandywine with his, and fall upon the enemy’s left, while the army crosses below to attack their right. The commander in chief hopes, by defeating Knyphausen, to secure those advantages which will outweigh any that gen. Howe may gain by forcing the troops opposed to his left column, to retreat. Sullivan is preparing to execute Washington’s order, when major Spears comes up and tells him that there is not the least appearance of the enemy in that quarter; which is confirmed by a sergeant Tucker, of the light-horse, sent out purposely to make discoveries. Sullivan conceives it to be his duty to convey Spears’s information to the commander in chief. This unfortunate intelligence deranges the disposition that has been determined on in consequence of prior information; so that general Greene, who has crossed with his advanced-guard, is recalled. Mean while the second or left column of the British army cross the forks of the Brandywine, the first branch at Trimble’s Ford and the second at Jeffery’s Ford, about two o’clock in the afternoon, taking from thence the road to Dilworth’s, in order to turn the right of the Americans,