Aha! Just found this:
The Argus, Friday 2 January 1942
CLOSE—MARTIN.—Mary, only daughter of Mr. and Mrs. A. A. Martin, Chipping, Ringwood, to Frank Close, of Rawong, Malaya, elder son of Mr. and Mrs. A. Close, Bellvue Hill, Sydney.
I suspect this may be his WWII enlistment, with wife Mary as his next of kin:
CLOSE FRANK ARCHIBALD : Service Number - NX173622 : Date of birth - 16 Jun 1914 : Place of birth - SYDNEY NSW : Place of enlistment - Unknown : Next of Kin - CLOSE MARY
I think his father is most likely Archibald Freebairn CLOSE who died in July 1950 in Sans Souci NSW, as husband of Clare and father of Frank and Ian.