For details on Rock Island prisoner-of-war camp and Lookout Mountain, let me suggest "Rebels at Rock Island" and "Shipwreck of the Hopes: The Battles for Chattanooga". Of course you don't want to omit the Battle of Chickamauga from the story, so look for another Pete Cozzens book, "This Terrible Sound: The Battle of Chickamauga."

p://findarticles.com/p/articles/mi_qa3945/is_200107/ai_n9004270
http://www.amazon.com/Shipwreck-Their-Hopes-Battles-Chattanooga/dp/0252019229
http://www.amazon.com/This-Terrible-Sound-CHICKAMAUGA-Trilogy/dp/0252065948
http://www.battleofchickamauga.net/chickamaugasite.html

For what it's worth, during the summer of 1863 General Withers resigned his commission and Maj. Gen. Thomas C. Hindman took command of his division.

http://www.geocities.com/civil_war_anderson/GeneralThomasHindman.html