NPS CWS&SS doesn't show Dr. Thomas Franklin McDow in military service. It is quite possible that he volinteered his services and is just not listed in the NPS system. NPS does show the following McDow's:

No. Soldier Name Side Function Regiment Name
1
McDow, G. M.
Confederate
1st Regiment, South Carolina State Troops

2
McDow, G. W.
Confederate
3rd Regiment, South Carolina Reserves (90 days 1862-63)

3
McDow, H. J.
Confederate
Infantry
17th Regiment, South Carolina Infantry

4
McDow, J. H.
Confederate
Artillery
15th Battalion, South Carolina Heavy Artillery (Lucas')

5
McDow, J. P.
Confederate
Infantry
12th Regiment, South Carolina Infantry

6
McDow, J. S.
Confederate
Cavalry
4th Regiment, South Carolina Cavalry (Rutledge's)

7
McDow, J. T.
Confederate
Cavalry
4th Regiment, South Carolina Cavalry (Rutledge's)

8
McDow, James F.
Confederate
Cavalry
10th Battalion, South Carolina Cavalry

9
McDow, W. A.
Confederate
Sharpshooters
Palmetto Sharpshooters Regiment, South Carolina (Jenkins') (1st Palmetto)

10
McDow, W. A.
Confederate
Infantry
12th Regiment, South Carolina Infantry

11
McDow, William A.
Confederate
Infantry
4th Regiment, South Carolina Infantry

American Civil War Soldiers
Name: Thomas McDow
Side Served: Confederacy
State Served: Texas
Service Record: Enlisted as a Private.
Enlisted in Company I, 26th Cavalry Regiment Texas.

American Civil War Soldiers
Name: Thomas McDow
Side Served: Confederacy
State Served: Mississippi
Service Record: Enlisted as a Private.
Enlisted in Company D, 27th Infantry Regiment Mississippi.