O.C.G.A. § 36-12-3

The father, mother, or child of any pauper contemplated by Code Section 36-12-2, if sufficiently able, shall support the pauper. Any county having provided for such pauper upon the failure of such relatives to do so may bring an action against such relatives of full age and recover for the provisions so furnished. The certificate of the judge of the probate court that the person was poor and was unable to sustain himself and that he was maintained at the expense of the county shall be presumptive evidence of such maintenance and the costs thereof.