You can file a petition for child custody in your county's Superior Court. If you are divorcing, the petition will be included in your divorce papers.Easy to understand legal information about child custody in Georgia. To get custody or any rights to visit, the father must first prove he is the father. 7. Prior Custody Determination: On. , the. Declaration of Sole Custody. This petition is intended for mothers attempting to obtain a passport for a minor child born out of wedlock. File No. ,. Defendant. §. The legitimation process is covered in detail and attorneys are available to assist with completing the petition. The Georgia Superior Court Clerks Cooperative Authority has these Family Violence forms in editable PDF format on their website.