Ky. Rev. Stat. § 384.070
At any time upon petition signed by the absentee, or on petition of an attorney-in-fact acting under an adequate power of attorney granted by the absentee, the court shall direct the termination of the conservatorship and the transfer of all property held thereunder to the absentee or to the designated attorney-in-fact. Likewise, if at any time subsequent to the appointment of a conservator it shall appear that the absentee has died and an executor or administrator has been appointed for his estate, the court shall direct the termination of the conservatorship and the transfer of all property of the deceased absentee held thereunder to such executor or administrator, or to the person or persons otherwise entitled thereto under existing law.
KRS 384.070