Captain Frederick William Bedford was cremated at the Mount Thompson Crematorium in the 4th of June, 1947. I could not locate him on Toowong Cemetery records so it is likely that he is on the headstone in memoriam only.
https://trove.nla.gov.au/newspaper/article/49322153?searchTerm=%22frederick%20william%20bedford%22&searchLimits=l-category=Family+Notices|||l-state=Queensland