rednaz23: I don't think there are any fellowship just for line games, but some fellowship which deal with "all" or "a lot" of games include the line games.
Like....
The Frogazons - My fellowship which deals with basicly all games except for Chess, Checkers, Gammon, and Boats. (But not the most active fellowship)
HOME - An "all game" fellowship, which is pretty active.
You can belong to as many fellowships as you want, so the best is to start checking a few out to see what you like. Some have a lot of fellowships, so have lots of inter-fellowship team tournaments, some have few tournaments but a lot of friendly chat. You can always join, and leave if it does not fit your wants.
...of course you could always look into creating your own "lines only" fellowship.