I don't know if this is a connection, but I have a John Adams (from Germany) who married a Mary Tillman. Their son was born in 1880. His name was John E. Adams (aka) Jack E. Adams (he was my ggrandfather).
When I read your message it seemed strange that you had a John Adams who married a Mary T., so I thought maybe Mary's last name might be different. I just thought I would put this out there in case you can make a connection or had some information on my branch of the Adams family. Mary