(a) When the spouse of an intestate decedent dies intestate and without ascertainable heirs within six months of the decedent's death, any undistributed property of the decedent to which the spouse had been entitled prior to the spouse's death shall not escheat but shall be distributed to the heirs of the decedent who would have inherited the property under the intestacy laws if the spouse had predeceased the decedent.

(b) The nonexistence of heirs of the spouse may be determined by publication as provided in Code Section 53-2-51. If no heir of the spouse appears, the property, less the expenses of the proceedings to determine the nonexistence of heirs, shall be paid over as provided in subsection (a) of this Code section.