Yes, I agree with Neil, Trove is fantastic, but it is not the source of 'everything'....
So, here's some electoral roll information from 1903 and 1913. Of course, it was not yet compulsory to enrol, but to be eligible to enrol you needed to be a British Subject, (either born or naturalised) aged 21 years of age or over, and residing in the district.
NSW 1903 Electoral Roll, ILLAWARRA,
polling at Broughton Village
All with the surname BINKS
Hester Ann, Broughton Village, domestic duties (dd)
Jane, Broughton Village, dd
John, Broughton Creek, farm labourer
Louisa, Broughton Village, dd
Martha, Broughton Village, dd
Mary, Broughton Village, dd
Rachel, Broughton Village dd
Thomas, senior, Broughton Village, farmer
Polling at Berry
Alfred Noble BINKS, of Berry, farmer
Polling at Cambewarra
ALL with surname BINKS
Isabelle, Cambewarra, dd
Mary Ann, Cambewarra, dd
Thomas, senior Cambewarra, farmer
Thomas, junior, Cambewarra, labourer
Wesley, Cambewarra, farm labourer
NSW ER 1913 ALLOWRIE,
polling at Broughton Village
ALL with surname as BINKS
Louisa, senior, Broughton Village, dd
Louisa, junior, Broughton Village, dd
Mary, Broughton Village, dd
Thirza May, Broughton Village, dd
Thomas, Broughton Village, farmer
Polling at Cambewarra
Mary Ann Matilda, Cambewarra, dd
Thomas, Cambewarra, farmer
Cheers, JM