Federal account of the battle of Chickamauga.
--The New York papers of the 30th, received yesterday through the courtesy of Hon. Robt. Ould, Commissioner of Exchange, contain detailed accounts of the battle of Chickamauga, or "Pigeon Mountain," as they call it. The fight of Saturday they regard as only the preliminary to the real battle which came off Sunday. They claim on Sunday to have lost no ground and to have repulsed Longstreet and Buckner, though they admit that "no substantial advantage had been won, and a large portion of the army was badly shattered. " The correspondent continues Saturday:‘ While the struggle of Saturday ended in a drawn battle, that of Sunday resulted in a disastrous defeat. The failure of the first day was partly due to the greater numerical strength of the enemy, and partly to the deficient formation of our line of battle. That of the second is justly ascribed to improper tactics on the battle field, and above all to the absence of command. The inspiring example set and influence exercised by the Commander in Chief at Stone river were wanting — he having been compelled to leave the field and return to Chattanooga before the action was over.
’ The early disappearance of two corps commanders from the field also made a demoralizing impression. The loyal people certainly have cause for self congratulation that the Army of the Cumberland was not completely destroyed, and owes profound gratitude to General Thomas and those under him that saved it.
Our losses are great. That in killed, wounded and missing will probably reach ten thousand. Of artillery we are less some fifty pieces, mostly lost on Sunday. Of wagons, loaded with ammunition and supplies, ambulances, &c., we have also lost a great number. They were abandoned in the retreat on Sunday.
General Rosecrans and his Lieutenants were busily engaged on Monday in strengthening their position by field work, and reorganizing their commands.
