Hi Maggie
According to the NSW BDM's, the only John Anderson who died in Nerrandera in 1943 has parents listed as Andrew & Agnes.
Did a search on Scottish census' & found a possible matching family in Shetland (only one I could find with a John born abt 1856 & parents Andrew & Agnes):
1861 census:
Andrew Anderson, Head, born abt 1807 Occupation farmer.
Agnes, Wife, born abt 1809
Grace, daughter, born abt 1842
Catherine, daughter, born abt 1845
Andrew (jnr), son, born abt 1848
Gideon, son, born abt 1852
John, son, born abt 1856
All members of this family were born in Northmavine, Shetland, Scotland
Found them again in the 1871 census, John was still with his parents.
In the 1881 census, the only matching John I could find was listed as a lamp trimmer on the ship "Manitoban"
Does this tie in with any other info you have?
Annie