This is getting to be a bit of an old post (maybe you've gone through recruitment already?) but I think the biggest part of this issue is that finding out the secret meaning behind a sorority or fraternity's letters, symbols, handshake, is part of the fun of initiating.
I think what you've gotten from this is that there are a lot of different ways GLO's were named, but they are all personal and special.
As far as the chapter names, one thing that some of us take particular pride in is being a "single letter" chapter, which means we are one of the oldest chapters of the national group. But I guess this would only apply if your group organizes chapters that way.
Good luck!
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