The BDM records for Queensland - excluding the exact date, are on line at https://www.bdm.qld.gov.au/IndexSearch/BirIndexQry.m - from the start of records until 1914. BDM information post 1914 is available at libraries LDS centres & similar, births to 1919, marriages to 1939 and deaths to 1964.
The information given by Ian is probably from the CDs for Qld which also go to 1914 only.
Frederick and Allison are buried at the Balmoral Cemetery you can search for them here http://www.brisbane.qld.gov.au/BCC:STANDARD::pc=PC_899http://www.brisbane.qld.gov.au/BCC:STANDARD::pc=PC_899 It is difficult to tell from the picture whether there is a surviving headstone.
John August Anderson appears to have died 1949 and is buried at Mt Gravatt. He is buried with 2 other people who died at approx the same time - so it may be a paupers grave? There are many Elizabeth Andersons - but not an Elizabeth Camilla. You can check the ages to see if any fit.