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.
BIG BAD WOLF: I thought of that too... I would really be interested in setting different line games teams, and playing other fellowhips. I think I am just going to check out different fellowships, see what works, see what doesn't work, and eventually I may start my own. We will see! :-)