Gen. Sullivan's bravery is unimpeachable. He was unacquainted, however, with fighting the Indians, and made use of the best means to keep them at such a distance that they could not be brought into an engagement. It was his practice, morning and evening, to have cannon fired in or near the camp, by which the Indians were notified of their speed in marching, and of his situation, and were enabled to make a seasonable retreat. The foregoing account, according to the best of my recollection is strictly correct. JOHN SALMON. Groveland, January 24, 1824. Esq. Salmon was formerly from Northumberland county, Pennsylvania, and was first Serjeant in Capt. Simpson's and Lieut. Boyd's company. Tradition of the Origin of the Seneca Nation.--Their Preservation from utter extinction.--The Means by which the People who preceded the Senecas were destroyed--and the Cause of the different Indian Languages. The tradition of the Seneca Indians, in regard to their origin, as we are assured by Capt. Horatio Jones, who was a prisoner five years amongst them, and for many years since has been an interpreter, and agent for the payment of their annuities, is that they broke out of the earth from a large mountain at the head of Canandaigua Lake, and that mountain they still venerate as the place of their birth; thence they derive their name, "Ge-nun-de-wah," [Footnote: This by some is spoken Ge-nun-de-wah-gauh.] or Great Hill, and are called "The Great Hill People," which is the true definition of the word Seneca. The great hill at the head of Canandaigua lake, from whence they sprung, is called Genundewah, and has for a long time past been the place where the Indians of that nation have met in council, to hold great talks, and to offer up prayers to the Great Spirit, on account of its having been their birth place; and also in consequence of the destruction of a serpent at that place, in ancient time, in a most miraculous manner, which threatened the destruction of the whole of the Senecas, and barely spared enough to commence replenishing the earth.