Roster of Confederate Soldiers, 1861-1865 shows:

Revier, John F. TN 1st Cav.

Carter, James E. TN 1st (Carter's) Cav. Co.E Col.

Quickie History: Began life as 3rd TN Cav Bn with 6 co's for 12 months in spring or summer 1861 - designation changed to 14th Cav Bn 5/12/1862 - increased to Reg and designated 1st [Carter's] Cav Reg 11/14/1862 - Co's 'L' and 'M' assigned 3/9/1864 and 3/11/1864, respectively - Co 'C' surrenderd at Vicksburg, MS 7/4/1863 - paroled later in month - declared exchanged 9/12/1863 - [reg reported to have served with Wheeler's Cav Corps, Army of TN, late 1863 to late 1864 - it was probably just Co 'K' which may or may not have joined Reg in final months of the war.] - served dismounted June & July 1864 - disbanded by Brig Gen John Echols 4/12/1865.
BATTLES:
Cumberland Gap - 9/8-10/1863
Murfreesboro - 12/31/1862-1/3/1863
Pegram's Kentucky Raid - 3/22-4/1/1863
Dutton's Hill - 3/30/1863
Expedition to Monticello, KY - 4/26-5/12/1863
Vicksburg Campaign - [Co 'C'] - May-July 1863
Champion Hill [Co 'C'] - 5/16/1863
Big Black River Bridge [Co 'C'] - 5/17/1863
Vicksburg Seige [Co 'C'] - May-July 1863
Blue Springs - 10/10/1863
Cumberland Gap - 9/8-10/1863
Knoxville Seige - Nov 1863
Rogersville, TN - 11/6/1863
Piedmont - 6/5/1864
Lynchburg Campaign - June 1864
Monocacy - 7/9/1864

Further Reading: Wilson, Thomas B. Reminiscences of Thomas B. Wilson.