Hi Enid

Enid Australia does not have surviving census as you have in the UK. There are online electoral rolls on ancestry from Federation to 1980 and the 1856 Vic roll.
There is no way of knowing if this is your Elizabeth and Wm.
Australian Electoral Roll
1903
HOGAN Elizabeth 41 Wilson Street, Brunswick HD
HOGAN William 41 Wilson Street, Brunswick Labourer
Will see if I can locate Wm at Bairnsdale. Unfortunately not everyone re-enrolled when they moved house.
Cando