If you read your recognition of parentage information (I researched this this weekend because I was worried about this as well)....
"When a child is born to parents who are not married
to each other the law gives custody of the child to
the mother (this includes both physical and legal custody). If the father wants a different custody
arrangement, he must go to court. If the parents cannot
agree on parenting time, the father must go to court.
If you have questions, please contact an attorney."
SO, for those who are worried that if DB is on the BC and takes them out of state and tries to file for full custody, but you were not married, they can't do that. You can then file kidnapping charges against the non-custodial parent as they are in the wrong.