At the National Park Service site I put in Ellison, TX, Cavalry,Confederate and got back 20 names. George M/W Ellison was in H/3rd TX Cav Rgt. Claiborn Ellison was in Morgan's Regiment TX Cav. I did not find a D.H., But there were D.D., D.F., a C.H., And a Calvin H. You can look through the list below. I would guess some of those in the same unit were kin. There was a D. Ellison in the 1st Battalion, Mississippi Cavalry (State Troops). One other possibility, was he was along with but not registered with a unit. Some of this type soldier later got pensions as other soldiers attested to them. That is all I can find.

Ellison, -
REGIMENT NAME:25th Regiment, Texas Cavalry (3rd Texas Lancers) (Gillespie's)
SIDE:Confederate
Ellison, -
REGIMENT NAME:Mann's Regiment, Texas Cavalry (Bradford's)
SIDE:Confederate
Ellison, Augustus A.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, Benjamin F.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, C. H.
REGIMENT NAME:McDowell's Company, Texas Cavalry (Lockhart Volunteers)
SIDE:Confederate
Ellison, Calvin H.
REGIMENT NAME:26th Regiment, Texas Cavalry (Debray's) (Davis' Mounted Battalion)
SIDE:Confederate
Ellison, Claborn
REGIMENT NAME:Morgan's Regiment, Texas Cavalry
SIDE:Confederate
Ellison, D. D.
REGIMENT NAME:Hardeman's Regiment, Texas Cavalry (31st Cavalry) (1st Regiment, Arizona Brigade)
SIDE:Confederate
Ellison, D. F.
REGIMENT NAME:24th/25th Consolidated Regiment, Texas Cavalry
SIDE:Confederate
Ellison, D. F.
REGIMENT NAME:Mann's Regiment, Texas Cavalry (Bradford's)
SIDE:Confederate
Ellison, F. A.
REGIMENT NAME:Mann's Regiment, Texas Cavalry (Bradford's)
SIDE:Confederate
Ellison, G. E.
REGIMENT NAME:19th Regiment, Texas Cavalry (Burford's)
SIDE:Confederate
ALTERNATE NAME:George C./Ellison
Ellison, G. E.
REGIMENT NAME:Mann's Regiment, Texas Cavalry (Bradford's)
SIDE:Confederate
Ellison, G. M.
REGIMENT NAME:3rd Regiment, Texas Cavalry (South Kansas-Texas Mounted Volunteers)
SIDE:Confederate
ALTERNATE NAME:George W./Ellison
Ellison, George
REGIMENT NAME:31st Regiment, Texas Cavalry (Hawpe's)
SIDE:Confederate
Ellison, George C.
REGIMENT NAME:19th Regiment, Texas Cavalry (Burford's)
SIDE:Confederate
Ellison, George W.
REGIMENT NAME:3rd Regiment, Texas Cavalry (South Kansas-Texas Mounted Volunteers)
SIDE:Confederate
Ellison, J. E.
REGIMENT NAME:2nd Battalion, Texas Cavalry State Toops (6 Months, 1863-64)
SIDE:Confederate
Ellison, J. E.
REGIMENT NAME:24th Regiment, Texas Cavalry (Wilkes') (2nd Texas Lancers)
SIDE:Confederate
Ellison, J. H.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate

Ellison, J. M.
REGIMENT NAME:2nd Regiment, Texas Cavalry (2nd Mounted Rifles)
SIDE:Confederate
Ellison, J. W.
REGIMENT NAME:24th Regiment, Texas Cavalry (Wilkes') (2nd Texas Lancers)
SIDE:Confederate
Ellison, Jacob L.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, James
REGIMENT NAME:32nd Regiment, Texas Cavalry (Crump's Battalion, Mounted Volunteers)
SIDE:Confederate
ALTERNATE NAME:James/Ellerson
Ellison, James F.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, James Rice
REGIMENT NAME:20th Regiment, Texas Cavalry (Bass')
SIDE:Confederate
Ellison, Jas.
REGIMENT NAME:32nd Regiment, Texas Cavalry (Crump's Battalion, Mounted Volunteers)
SIDE:Confederate
ALTERNATE NAME:James/Ellerson
Ellison, Jesse W.
REGIMENT NAME:6th Regiment, Texas Cavalry (Wharton, Stone's)
SIDE:Confederate
Ellison, Joel
REGIMENT NAME:23rd Regiment, Texas Cavalry (Gould's)
SIDE:Confederate
Ellison, John M.
REGIMENT NAME:19th Regiment, Texas Cavalry (Burford's)
SIDE:Confederate
Ellison, Jonathan T. S.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, L. W.
REGIMENT NAME:24th Regiment, Texas Cavalry (Wilkes') (2nd Texas Lancers)
SIDE:Confederate
Ellison, M.
REGIMENT NAME:Chisum's Regiment, Texas Dismounted Cavalry (2nd Texas Partisan Rangers) (Stone's)
SIDE:Confederate
Ellison, Nathaniel P.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, R.
REGIMENT NAME:Bourland's Regiment, Texas Cavalry (Border Regiment)
SIDE:Confederate
Ellison, R. P.
REGIMENT NAME:33rd Regiment, Texas Cavalry (Duff's Partisan Rangers)
SIDE:Confederate
Ellison, Rufus
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, T. G.
REGIMENT NAME:17th (Consolidated) Regiment, Texas Dismounted Cavalry
SIDE:Confederate
Ellison, Thomas H.
REGIMENT NAME:26th Regiment, Texas Cavalry (Debray's) (Davis' Mounted Battalion)
SIDE:Confederate
Ellison, Thomas H.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate

Ellison, Thomas H.
REGIMENT NAME:26th Regiment, Texas Cavalry (Debray's) (Davis' Mounted Battalion)
SIDE:Confederate
Ellison, William H.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, William J.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate
Ellison, William W.
REGIMENT NAME:36th Regiment, Texas Cavalry (Woods')
SIDE:Confederate