Also don't know if there is any connection here:
Marriage 960/1923 MULLANE JOHN - SANDS SARAH - ASHFIELD * 17 Feb 1923
Death 10125/1940 MULLANE JOHN - TIMOTHY - ANNIE - RANDWICK
The Sydney Morning Herald - Tuesday 23 April 1940 p.10
FUNERALS
MULLANE.-The Remains of the late JOHN MULLANE, of 3 Malvern Avenue, Roseville, were privately Cremated YESTERDAY (Monday) at the Northern Suburbs Crematorium.
CHARLES KINSELA PTY. LTD. A.F.D.A., Oxford Street, Taylor Square, Darlinghurst. Phones FL4136-7-8.
Death 1336/1906 MULLANE TIMOTHY - DANIEL - ELLEN - GRAFTON
Clarence and Richmond Examiner (Grafton, NSW : 1889 - 1915) - Saturday 30 December 1905 p.1
DEATHS
MULLANE.-At his residence, Villier-street, Grafton, on 25th Dec., Timothy Mullane, native of Lisrobbin, County of Cork, Ireland ; aged 64 years. May his soul rest in peace.
Dave