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.B) The Respondent has acknowledged service of process. I am filing with this. See the chart below for an overview of the child custody process in Georgia, including links to relevant statutes and forms. Unless otherwise permitted, you must file a separate petition for each child. Sworn to and subscribed before me this day of. Effective January 1, 2008, there are significant changes in the handling of child custody cases in Georgia, which include new requirements on the parties. Declaration of Sole Custody. This petition is intended for mothers attempting to obtain a passport for a minor child born out of wedlock.