The NPS Soldiers and Sailors System record three Henry Balls, 1st Virginia State Reserves, 14th NC Inf., 7th Va. Cav.
No H. C. Balls
No H. Balls
and one H. Swinton Ball
....
The American Civil War Research Database lists:
3 Henry Balls, 1st Va. Res. Inf., 24th MS Inf., 14th NC Inf.
1 H. Ball, Marion SC Lt. Art.
2 H. A. Balls, 9th MS Cav., 17th Part. Rangers Cav.
No H. C. Balls