Trove also has his death and funeral notices, with slightly different spelling:
The Argus, Thursday 27 January 1955
MARTIN. - On January 25, at his home, Chipping, Wonga road, Ringwood, Archibald Arene, aged 71 years.
MARTIN. - A Memorial Service for the late ARCHIBALD ARENE MARTIN will be held at the Bathurst memorial chapel, cnr. Glenhuntly and Kooyong roads, Elsternwick, TODAY (Thursday), at 2p.m. The private Funeral will leave the chapel at the conclusion of the service, for the Spring Vale Crematorium.
With him is Winifred Katherine MARTIN, who died in June 1952.
The Argus, Monday 9 June 1952
MARTIN. —On June 7, at her home, Chipping, Wonga road, Ringwood, Winifred Catherine, aged 73 years.
No children are mentioned in either notice but then again neither are spouses!
The death reg confirms Archibald's parents as Wm & Louisa (nee WARD), reg 1865 - this certificate would reveal when and where he married and any children he had (living or decd). You can order an uncertified image online and download as a pdf for about A$18.
Winifred's parents were George Lucas WRIGHT and Mary LAMBE (death reg 19458).