From Kentucky
the fight at Mumfordsville, Ky.--reported capture of Green river bridge and 3,500 prisoners.
Chattanooga, Sept. 26.
--The fight at Mumfordsville was brought on by Chalmers's brigade, which was afterwards reinforced by Chestham's division.
We lost 250 killed and wounded. The enemy lost 600. Col. Smith and the Lieutenant Colonel of the 9th Mississippi were killed.
[Note.--General Bragg's official dispatch says the garrison surrendered without our firing a gun. The loss referred to was probably in the fight reported to have occurred a few days prior to the surrender.]
The Nashville Union, of the 23d, reports that General Bragg captured the Green River bridge and 3,500 prisoners, on the 16th inst. It also says that Gen. Curtis has succeeded in throwing his army between Smith and Bragg, preventing their junction. The capture of Green River bridge by our troops is a great loss to the enemy.
