William's death certificate would give you information on his children ie who was living and who was deceased.
There are so many JAMES on the Vic indexes but going by the place of birth this may be Lucy and the names of the children include her grandfather's name Jephat.
Marriage
JAMES Lucy b. Oxford
DAWBARN John
1869 Reg#2108
Births
DAWBARN John Hamilton
Father John Mother Lucy JAMES
At Williamstown 1870 Reg#5950
DAWBARN Frances Lelia
Father John Mother Lucy JAMES
1871 Reg#1513x1898
DAWBARN Alfred William
Father John Mother Lucy JAMES
At Williamstown 1873 Reg#13574
DAWBARN Robert Charles
Father John Mother Lucy JAMES
At Williamstown 1875 Reg#6246
DAWBARN Harry Japhet
Father John Mother Lucy JAMES
At Sandridge 1877 Reg#5189
DAWBARN George Ellison
Father John Mother Lucy JAMES
At St Kilda 1878 Reg#25862
DAWBARN James Ridgway
Father John Mother Lucy JAMES
At Prahran 1880 Reg#18017
DAWBARN Lucy Elizabeth G
Father John Mother Lucy JAMES
At Prahran 1883 Reg#25666
Death
DAWBARN John Hamilton
Father John Mother Lucy JAMES
5 years born Williamstown 1875 Reg#15105
DAWBARN John
Father Richard Ellison Mother Deborah REYNOLDS
45 years at Prahran 1883 Reg#2873
Mistranscribed
DAWBORN Lucy
Father Unknown Mother Unknown UNKNOWN
66 years at Kew 1913 Reg#13760
Australian Electoral Roll
1909 Victoria
DAWBARN George 54 Motherwell Street, Hawksburn Pastry cook
DAWBARN Lucy Elizabeth 54 Motherwell Street, Hawksburn Shop hand
DAWBARN Lucy 54 Motherwell Street, Hawksburn Home duties.
There are 5 DAWBARN burials at St Kilda Cemetery and 2 at Springvale.
http://www.deceasedsearch.com/index.phpThere are no MI's for those buried at St Kilda Cemetery.
Cando