From Mississippi.
Granada, Aug. 15.
--Logan's command, about 5,000 strong, has fallen back to Hatchie river, on the other side of Bolivar, Tenn.
Three thousand Yankees have been sent from Brownsville to Fort Pillow.
One hundred Yankees occupy Hickman, and 1,200 are at Columbus, Ky.
Their command at Memphis has certainly been weakened by sending reinforcements up the river, probably for Buell.