According to the NSW marriage index, http://www.bdm.nsw.gov.au/Pages/family-history/family-history.aspx Arthur E. PEARSE married Muriel E. UHR at Chatswood Ref. #5163/1911.
The Ryerson Index (Death Notices & Obituaries in Australian Newspapers) http://ryersonindex.net/search.php PEARSE, Arthur Edward / Death Notice / (died) 04APR1954 / Death / (age) 78 / at St George Hospital, Kogarah, late of Cronulla / Sydney Morning Herald / 05APR1954.
The Digitised Newspapers at TROVE http://trove.nla.gov.au has the Death Notice in the Sydney Morning Herald 5 Apr 1954 (page 16) & Funeral Notice in SMH 6 Apr 1954 (page 22).
The NSW Death Index states: Ref. #9583/1954 PEARSE,Arthur Edward son of Alfred & Susan registered at Hurstville.
You should obtain a copy of their marriage certificate which should show their birthplaces & Parents’ names.