According to the Georgian law in case of the child born by a surrogate mother the couple and not the surrogate mother will be registered as the parents of the child. Even in case an embryo obtained from an egg or spermatozoon which was obtained not from the infertile couple but from a donor is transferred into the uterus of the surrogate mother, the couple will be deemed as the legal parents of the child.
The birth certificate will be issued immediately after the child birth, within 1 day. The couple will be registered as the parents in the birth certificate Thus a birth certificate of the child born by a surrogate mother does not differ from the birth certificate of any other children. Consent of the surrogate mother is not required for registration of the infertile couple as parents.
The following will be required for registration of the couple as parents:
Surrogacy Agreement made by the couple, certificate of embryo transfer into the uterus of the surrogate mother issued by the IVF clinic and certificate of the fact of childbirth issued by maternity hospital. The procedure of issuance of the birth certificate is simple and does not require hiring a lawyer. The parents will have a right to take their child to their country any time after the child certificate has been issued.
You can see Laws of Georgia on Surrogacy on the website of the Parliament of Georgia and Ministry of Health Labour and Social Affairs. The laws are in Georgian.