Hello Rachel, I clicked on your message and decided to see if I could help. I haven't checked Melbourne records.However, I did check English records and believe that I found your Ingle's in the 1841 census onwards. I found ref for a Ezra Ingle born in 1839 in Cambridgeshire, in the Willingham area.Would this birth year roughly correspond to the birth of your Ezra? I found him with his parents and siblings in the census. Father William was a Butcher acc to census 1841 and 1851 that I checked. Ezra also had a brother Marshal acc to census. Seems most of the sons of William and his wife Elizabeth were Butcher's ! You may already have this information so there is no need to reply if that is the case.
I will see what I can find on Australian records for you.
p.s. Have saved the census records and can send if you don't have.