They did not arrive at Canberra. The location of their immigration record is Canberra.
There are no children listed on the details of their arrival and as Anneliese was born 1917 I doubt she would be having children after their arrival in 1961.
There are no other
BROWN's enrolled to vote at their address from 1968 to 1970. Online records only extent to 1980.
Australian Electoral Rolls
1968, 1972, 1977, 1980
BROWN Anneliese 56 Worrell Street, Dandenong HD
BROWN William James 56 Worrell Street, Dandenong Sales
This is this probate file at PROV
http://prov.vic.gov.au/index_search?searchid=54BROWN William James Storeman of Dandenong Died 10 Aug 2002
However I doubt this is your man as he appears to have been born c
1913http://www.legacy.com/heraldsun-au/Obituaries.asp?Page=ArchiveSearchBROWN. - William James (Bill), passed away peacefully in his sleep on Aug. 10, 2002. Aged 89 years Beloved husband of Annie. Loved and ...
76 total words
Published in the Herald Sun on 12/8/2002
It may be worth purchasing their immigration file to find in which State in Australia your people of interest settled. They may have chosen not to enrol to vote or if they settled in South Australia that State's electoral rolls were not made available to Ancestry.
Cando