Insurance in another state

Has anyone had prenatal care in one state then decided to have the baby in another state have a hard time with their insurance? I'm currently in Nj but I'm planning to have the baby in California because that's where my mom and family are.. I have insurance here in Nj and they only cover u within a month time and only emergencies I heard I can get emergency medical in Cali but so unsure... Any thoughts? Thanks in advance!