What is her name?

Informally, she's the Love Rocket. Hence my screen name - anyone remember this commercial:

YouTube - Danger Kitty - Love Rocket (Discover Card Commercial)

That's actually a real band that travels around doing hair band cover shows by the name Metal Shop. There's another one like them named the Spazmatics that does new wave music in full Revenge of the Nerds getup. The wife and I took a bunch of friends to one of their shows - it's a fun time.
 
Phoebe.....
She's named after one of the 12 original Greek Titans. The mother of Zeus.
I felt that was appropriate.