Viv,

While I couldn't find your Ezra on the passenger lists for Australia, I have found him in the electoral roll, as follows - his occupation was labourer. I should have checked the roll before posting the last reply!

Australian Electoral Rolls, 1903-1954
about Ezra Sutcliffe Shimmin
Name: Ezra Sutcliffe Shimmin
Gender: Male
Electoral Year: 1937
State: Queensland
District: Kennedy
Subdistrict: Cairns