Short answers, pulled from the story.
Confederate General Braxton Bragg transported his infantry by railroads from Tupelo, Mississippi to Chattanooga, Tennessee in August 1862. His cavalry and artillery moved by road during this same period.
On the 8th of October 1862, the wing of Bragg's army under Major General Leonidas Polk met Buell's forces at Perryville. Confederate forces won a tactical victory against the Union army there despite failing to secure strategic dominance for the South.
President Lincoln removed Buell from command of the Army of the Ohio for being too cautious in pursuit of Bragg. Major General William Rosecrans replaced him though Buell did not receive another command before mustering out of service in May 1864.
Confederate war clerk J.B. Jones recorded that Bragg succeeded in getting away with 8,000 beef cattle and 50,000 barrels of pork. This supply haul occurred while the state remained primarily under Union control for the rest of the war.