It'd be awesome if Glitches could give other Glitches titles. However, it'd probably be best to keep it as a very high level skill or limited to say, a Priest of (name Giant here).
Also, the ability for the player who receives one to drop it.
So you could end up with:
Lord of the Wolves ShepherdMoon
Cookie-Muncher Nanookie
"Call me Mister" Dr. Barf
Drag-racer Dreggs
Sing-that-song VivMelodious
etc.
(Note- the Glitch names here are presented as an example).