Dear Katrina,
It appears that maybe Fay HAZELGROVE's parents were married in 1933:
8119/1933 Groom: HAZELGROVE ROBERT W Bride: TAYLOR ELLEN M COONABARABRAN

Ellen was also known as Nellie.

Electoral Roll:

1930
HAZELGROVE Robert William, Binnaway, fettler.

1943
HAZELGROVE Nellie, Werai, Moss Vale, home duties
HAZELGROVE Robert William, Yarrawa Road, Moss Vale, ganger.

1949
HAZELGROVE Nellie, Yarrawa Road, Moss Vale, home duties
HAZELGROVE Robert William, Yarrawa Road, Moss Vale, ganger.

1954
HAZELGROVE Nellie, Railway Camp, West End Street, home duties
HAZELGROVE Robert William, Railway Camp, West End Street, ganger.

A sister of Fay's, Lorriane HAZELGROVE, died 1943 at Moss Vale.

Robert William HAZELGROVE died 1971
52311/1971 HAZELGROVE ROBERT WILLIAM EDWARD MAY BYRON BAY

Maybe, Nellie HAZELGROVE died in 1990. From Ryerson Index:

HAZELGROVE Ella May (Nellie) Death notice 11MAR1990 Death at Gosford

Taylor is a common name in Coonabarabran.

Mary