I think I might be connected to the family of Sproules that you are connected with, as my great grandfather, John Sproule came out from the county Tyrone in 1862. His grandparents werewere William and Mary. His parents William and Margaret also came to Australia around the same time.
John Sproule was the first Mayor of Cantebury and he was also the Mayor of Hurstville for a while.
Here is a link to a newsletter which has information about John Sproule and his family.