Petition for (Custody) (Visitation). To be successful, a Grandparent Visitation Petition is written as a two step process.(b) Any person may submit a verified petition to the Superior. Court for the right of visitation with any minor child. Use a Complaint or Petition. The first step is to file a petition in Tennessee family court. This is your formal request for visitation or custody. (TCA § 36-3-605(c)). The Juvenile Division of the Common Pleas Court is in 373 South High Street and is located on the 4th floor. File?" in the Introduction for more information about what county you should file in.