No doubt they're from this same large Perryman family.
He's some interesting information on this family, the Creeks [Muscogee] in the Civil War, and general info about the Creek Nation from the diary of Legust Perryman. You might note that several of the men enlisted in the 1st Creek Regiment (CSA) and later some went to Kansas and joined the 1st Indian Home Guard (US).
http://homepages.rootsweb.ancestry.com/~cmamcrk4/crkst20.html