O.C.G.A. § 21-2-288 (2019)

If two or more candidates for the same nomination or office shall have the same or similar names, the Secretary of State, in the case of federal or state offices, the superintendent of elections, in the case of county offices, or the official with whom such candidates qualify, in the case of municipal elections, shall print or cause to be printed the residence of all candidates for such nomination or office on the ballot under their names. The designated official shall determine whether the names of the candidates are of such a similar nature as to warrant printing the residence of all candidates for that office on the ballot; and the decision of the designated official shall be conclusive.