Roster of Confederate Soldiers, 1861-1865 shows:

Harper, James TN 5th Inf. 2nd Co.H

TENNESSEE 5TH INFANTRY REGIMENT
Organized at Paris, Henry County, TN on May 20, 1861. Mustered into Confederate service at Camp Brown, Union City, Obion County, TN on August 9, 1861. Company 'C' 46th Inf Reg assigned as 2nd Company 'L' in August 1862. Regiment reorganized on May 6, 1862. 2nd Company 'L' redesignated as Company 'C' 46th Inf Reg from December 1862 to April 9, 1865. Additional field consolidation with 31st [A. H. Bradford's], 33rd, 35th, 38th, & 41st Inf Regs, 22nd Inf Bn & 5th Confederate Inf Reg and designated as the 3rd Inf Reg Consolidated at Smithfield, NC on April 9, 1865.

Further reading: Rennolds, Edwin Hansford. A History of the Henry County Commands which served in the Confederate Army, including Rosters of the various Companies Enlisted in henry County, Tenn.