I think these two guys might be the same person since Company I and Company B where both from Richmond County. The guy in Col. Rains regiment had a middle initial H.

1ST (Symons’) Regiment Georgia Infantry, Reserves
Col. William R. Symons

Company I (Richmond County)
Private Frank Holman
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1ST Regiment Georgia Infantry, Local Defense Troops, (Augusta)
Col. George W. Rains

Company B (Richmond County)
Private Frank H. Holman