The Tennessee in the Civil War Message Board

Mississippi Soldier in Carthage, TN

I wish to locate the grave of John L. Callaway, Co. A 41st MS Infantry, CSA. His muster card for June-to-Oct., 1862 says he was sent to the hospital at Carthage. His Nov.-Dec. 1862 card says he died in Carthage on Oct. 10, 1862. He obviously got sick while the Army of Tennessee was passing through on their way to Kentucky and got left behind. Does Carthage have a Confederate Cemetery? I am researching Co. A and found this and got curious about it.