Okla. Stat. tit. 58, § 58-510: Death of claimant

If the person entitled to the conveyance dies before an

application is filed, as provided in this chapter, or before the

completion of the conveyance, any person entitled to succeed to his

rights in the contract, or the executor or administrator of such

decedent, may, for the benefit of the person or persons so entitled,

commence such proceedings,or pursue any proceedings already

commenced, and the conveyance shall be so made as to vest title in

the person or persons entitled thereto, or in the executor or

administrator, for their benefit.