Names and dates are ok for this lady:
NSWBMD
Death
1956 #23422
Avess Martha HULLICK, 85, registered Singleton
Under the column
Mother's Name is only the word: SINGLETON
I cannot see a marriage for a man with surname HULLICK
However, there are these births, all registered Woollahra.
28081/1902 Leslie J HULLICK, parents:
Leslie T, Avis M29725/1905 Ernest M HULLICK, parents:
Leslie, Avis - died 1906, registered Randwick
18358/1900 Harold J HULLICK, parents:
Leslie T, Avis MDeath of Leslie
7233/1907 Leslie T HULLICK, parents James, Mary; reg WOOLLAHRA
Also reports on TROVE, eg
http://trove.nla.gov.au/ndp/del/article/112642031Death of other sons
10229/1945 Harold James HULLICK, parents: Leslie Theobald, Avis Martha, reg MANLY
10461/1982 Leslie Joseph HULLICK, parents Leslie Joseph, Adis (sic) (No reg district given)
However, there are a number of TROVE mentions of "Mrs HULLICK" and her son Harold at Singleton from about 1915 which seems a bit odd as the DOYLE family appears to be in west Sydney areas.
National Archives has a digitised copy of WW1 papers for Harold James HULLICK which includes a signature of his mother A M HULLICK.
http://www.naa.gov.au/collection/search/index.aspxAs I said - a long shot!
Judith