Ga. Comp. R. & Regs. 511-1-3-.14
If the natural parents marry after the birth of a child, a new certificate of birth shall be prepared by the State Registrar for a child born in this State upon receipt of a notarized legitimation affidavit signed by the natural parents of said child, together with a certified copy of the parents' marriage record. However, if the mother or the putative father is deceased at the time an application for amendment of the birth certificate is made, or another person is shown as the father of the child on the original certificate, or the birth certificate reflects that the natural mother was married at the time of conception, birth, or any time between conception and birth, a new certificate may be prepared only when a determination of paternity is made by a court of competent jurisdiction in the State of Georgia, or a court of like jurisdiction from any other State or Territory, or following adoption of a child born in this State. Such court order must specify the name to be removed and the name to be added as father of the child.
Ga. Comp. R. & Regs. R. 511-1-3-.14
O.C.G.A. Secs. 31-2A-6, 31-10-3, 31-10-14.