Generally speaking, you may give birth wherever you wish. If you remain in your home state, the baby will be born in the hospital you and your doctor choose.
If you live in a state which restricts independent adoption, or prohibits assistance with your necessary expenses, you may decide to come to California for the birth. The adopting parents will pay for your airline transportation, rent and support while you are here. I maintain comfortable furnished apartments in very safe neighborhoods in the Los Angeles area specifically for the convenience of mothers who come here. You will not be compelled to stay in a maternity home (unless you want to).