I've been unable to locate this man, but have a question or two. If the dates cited are accurate, Brown would have been seventeen when the war ended. In your judgment, does the man in uniform you mention appear to be a young teen, or older?
A majority of men in Company "A" of Hardee's Battalion came from DeKalb and Cherokee Counties, so residence seems correct. I'm surprised that a veteran living in Alabama in 1912 would not have responded to the 1907 census of Confederate veterans, or applied for a pension.