In the event of death of any such teacher the order of precedence of payments shall be as follows: first, to the beneficiary, or beneficiaries, designated in writing by the teacher and recorded on his or her individual account; second, if there be no such beneficiary or beneficiaries designated, then to the duly appointed executor, or administrator, of the estate; third, if there be no such beneficiary, or if an executor or administrator be not appointed within 6 months after the death of such teacher, payment shall be made into the registry of the court having probate jurisdiction.
D.C. Code § 38-2001.10a
Probate jurisdiction, see §§ 11-501 , 11-921 . .