Legal Question in Family Law in California

I am not aware of any law that allows a minor to move out because she is pregnant. Actually, I would hope there is a law preventing this move.

Guardianships are court governed procedures, and generally are supervised by the court. Almost everything that a minor wants to do under a guardianship require court approval. I suggest reading the following link: http://www.courts.ca.gov/selfhelp-guardianship.htm