If:
(a) because of a person's death, a benefit is payable in respect of a person under this Part; and
(b) the person is not survived by any spouse; and
(c) there is no surviving child of the person or no surviving child of the person who could be at any time an eligible child of the person;
the benefit is payable to the person's legal personal representative or, if no legal personal representative can be found, to any individual or individuals that CSC determines.