Hi,
Lillian's father James PAULL,died in 1883 (#11299/1883) so her mother, Mary nee BARKEL was widowed when the girl was about 11 years. Mary did not remarry and died at Beechworth
PAULL Mary
F. Barkel Francis
M unk
At Bworth
Aged 69
#12161/1913
Her son Francis William and daughter in law lived there.
So if Lillian travelled away to New Zealand, it was not with her family.
Her sister Elizabeth Mary married and died in the same area.
MARTIN Elizabeth Mary
M. Mary Elizabeth BARKEL F. PAULL James William
At ALLANS FLAT
BEECHWORTH
Aged 71
20837/1941
So there is a possibility that she was living with another family who took her to NZ as she would not have been travelling alone
Sue