Your baby needs a birth certificate before you can leave the hospital. You must bring certain documents with you when you give birth. If you (the mother) are married to your baby's father, you both must bring your: 1  Driver's license or official ID. 2  Marriage license.f you (the mother) and your baby's father are from a country other than the United States and are not married: you both must have current United States IDs. If both of you do not have IDs, the father will not be listed on the birth certificate. The baby will be given the mother's last name.