Thank you Cass. This is not the one as parent's names differ (actually John(Jack) and Eliza) Tried myself but nothing came up although note that records stop at 1964. Grateful for the try!
Death records are to
1984 in Qld
https://www.bdm.qld.gov.au/IndexSearch/BirIndexQry.mYour father has occupation farm hand on his immigration file, which you possibly have attached to your private online tree
http://recordsearch.naa.gov.au/scripts/Imagine.asp?B=5049203but was he still working as a farm labourer when you returned to the UK?
He was a painter at one stage prior to emigration.
A possibility

Australian Electoral Roll
1954 Qld Capricornia/Eidsvold
BROWN Frederick James 110 Murray Street, Rockhampton Painter
1963 Qld Wide Bay/Bundaberg
BROWN Frederick Brown 118 George Street, Bundaberg Painter
1968 Qld Wide Bay/Woongarra
BROWN Frederick Brown 2 Marshall Street Burnett Heads No occupation
No burial record at Bundaberg Lawn or General Cemeteries.
http://bundaberg.qld.gov.au/services/cemeteries/bundaberg/search?query=brownCheers
Cando