My grandfather was Thomas Seben Addison (Feb. 10, abt 1860) and he was married to Mary Nancy Lenard or Leonard (march 5, 1872). I think maybe Thomas' brother was named Hiram because I heard my father speak of Hiram. They lived in Sabine Parish. I do not know who my greatgrandfather was. If you come across this during your research, please let me know.
The only connection I can find with anything is this: John Britton Addison had 12 children listed in census records. However, when Hansford died he put his brother, Thomas S. in charge of his estate. Thomas S, however, is not listed as one of the 12 children. One of the listed children is William Seton. I think Thomas Seben could have been derived from this. This could be reaching, though.