I don't know about nicknames, but we have five lanterns that I have given names to:
Our Beta 5 is Johnny, named after the robot in Short Circuit
![Cheesy :D](/Smileys/default/cheesy.gif)
The Beta 79 is called Julia, for no special reason
![Smiley :)](/Smileys/default/smiley.gif)
The Urbis Evolo 2 is called Joanna
![Smiley :)](/Smileys/default/smiley.gif)
The Philips SRS 201 is called Anton, because of Anton Philips
![Smiley :)](/Smileys/default/smiley.gif)
And lastly our Gamma 6 is called Gemma, because it sounds like Gamma.
![Smiley :)](/Smileys/default/smiley.gif)