If you (the mother) are legally married to someone other than your baby's father: 1  You must bring your ID. 2  Your husband is legally the father of your child. 3  He must be listed on the birth certificate unless he and the baby's biological father come to the hospital and sign a 3rd-party paternity form.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.