The only information my daughter-in-law has that in 1934 ELLEN married EDWARD SMURTHWAITE born in 1912 (birthplace unknown) at Newcastle-upon-Tyne and in 1935 they had a son JOHN EDWIN SMURTHWAITE.
Can't help with the Australian end of things, but you may want to check the name of Ellen's husband.
All the records that I can see in the UK that match what you have said have him as
Edwin Cummings Smurthwaite, not Edward.
That's birth registration, 1921 census, marriage registration, 1939 National Identity Register and death registration all of which have him as either Edwin Cummings Smurthwaite or Edwin C Smurthwaite.
The difference in forename could skew search results unless you use wild cards
Boo