I think we are well on our way to sorting out the families of Pleasant, Jackson, and Matthew Lanham. I have just ordered the War of 1812 file for Pleasant Langham, hoping this is Pleasant Lanham. A copy of Andrew Jackson "John" Lanham's War of 1812 file is now at the Casey Co. Library,or at least the pages I was sent anyway.
The Berry you mention probably was Greenberry, he was probably called Berry to distinguish him from his older first cousin Greenberry Lanham who married Nancy Davis. Son of Pleasant Lanham and Elizabeth "Betsy" (Goodman?) Lanham Lanham.