NEW-YORK, December 11.

Extract of a letter from Richmond, dated November 26.

“Letters have been received here to day, from Kentucky (but not official) giving an account of the Western Confederated Indians having defeated a body of our troops, who after a fatiguing march of several hundred mules, aimed an attack against one of their towns, situate on the Miami River, which empties in Lake Erie.

“It appears that General Harmar had prudent-ly kept an advanced party of about 200 chosen militia rifle men during his whole march, which, in case of attack were to be supported by 250 men from the right, and as many from the left wing of the little army—That at a certain ford the advance were attacked, and duly supported agreeable to orders, but that the Indians, who fought bravely and desperately, were too powerful and soon broke and dispersed our people—That in the interim, General Harmar took such a position as effectually covered the retreat of the survivors, and secured the stores of the army—and to this prudent Mea-sure is ascribed the prevention of a total rout.