Yes, I would give it 99% that they are his parents

I can see Ruby Olive, Albert &
Allen Ronald EDWARDS together on the 1943 electoral roll in the district of Wilmot, Tasmania & in 1949 there is also a Dorothy.
Ruby is buried at Cornelian Bay Cemetery:
Ruby Olive EDWARDS age 49, buried 25 Mar 1948 Cornelian Bay, Church of England, Section : KB Site number : Number 180.
You can contact Millingtons & ask if they have any further information regards her burial details that might help you out.
Email: cemetery
[at]millingtons.com.au