Hi Tammy - I do not know much about these Bynes. The Edmund Byne family of VA who moved to Burke Co., GA just after the Rev War brought many with them.
Some years ago while I was in California I called a Byne listed in the phone book, as I often did. He did not know anything about his family, and had been seeking his father for some years.
My uncle, who in past years visited the hospital for the mentally ill at Chattahoogi FLA, said he had talked to a gentleman of color named Byne there. There may be records of those who were there, but I do not know how one would acesss them.
Sorry I can not help more.