I know the following are the major units that participated in the Red River Campaign.

12th Texas Cav.- Col. William H. Parson
19th Texas Cav.- Col. Nathaniel M. Burford
21st Texas Cav.- Col. George W.Sweet
Morgan's Squadron (150 men)- Lt.Col. Charles L.Morgan
10th Texas Field Battery- Capt. Joseph H. Pratt
Val Verde Battery- Capt. Timothy D. Nettles
26th Texas Cav.- Col. Xavier B. Debray
4th Texas Cav.- Col. James Reily (KIA)and Col.William P.Hardeman
5th Texas Cav.- Col. Henry C. McNeill
2nd La. Cav.- Col. William Vincent
22nd Texas Cav.(dism.)- Col. Robert H.Taylor
34th Texas Cav.(dism.)- Col. Almarine Alexander
17th Texas Cav.(dism.)- Col. George F.Moore
31st Texas Cav.(dism.)- Col. Frederick J.Malone
1st Texas Cav.- Col.Agustus C.Buchel
Terrell's Texas Cav.- Col. Alexander Terrell
12th Texas Inf.- Col. Overton C.Young
18th Texas Inf.- Col. William B. Ochiltree
22nd Texas Inf.- Col. Richard B. Hubbard
13th Texas Cav.(dism.)- Col. John H. Burnett
Haldeman's Battery- Capt. Horace Haldeman
16th Texas Inf.- Col. George M. Flournoy
28th Texas Cav.- Col. Horace Randal
35th Texas Cav.- Col. Ruben R. Brown