Frank Zappa is a rock musician.  Frank Zappa and Gail Zappa have named their babies:

Dweezil: A baby boy.  The name is a nickname given by Frank Zappa and inspired by Gail Zappa's toe.  Dweezil eventually decided to make the nickname his official name.

Ahmet Emuukha Rodan: A baby boy.  Ahmet is the Turkish version of Ahmad.  Named after Ahmet Ertegün, one of the founders of Atlantic Records. Rodan is a fictional monster from a 1950's movie.

Moon Unit: A baby girl. The unique name cast Moon Unit into public light.  The meaning of the name is: a lunar rover.

Diva Thin Muffin: A baby girl. The word "diva" is usually used to describe an opera star.  According to an interview with Frank Zappa, the name was inspired by Diva's loud screaming after birth.