1871 census, William Jones is living with his mum and father in law in Bury Lancashire.Obviously they emmigrated in 1875 so couldn't find anything more on them for any census returns later than that. William and Eliza had three children:
Edith Jones
Birth ?? Death 02 Aug 1956 in Carlton Rest Home, Wardell Road, Dulwich Hill, Sydney.
Arthur Jones
Birth 22 Jun 1888 in Redfern, NSW - Marriage in 1911 to Marriage to Ethel May Thompson Holy Trinity Church, Erskinville Death 31 Dec 1939 in Royal South Sydney Hospital, Waterloo.
They has 9 children the only details i can see on one of them is - Eric Albert Jones
Birth 19 Feb 1917 in Erskinville, Sydney Death 25 Sep 1983 in Prince Henry Hospital, Sydney
Eliza Ann Jones
Birth 1908 - Marriage to Arthur William Walker
Redfern, NSW
Can't seem to find anything with a matching mothers name but a William Jones born in Birkenhead in 1845 with the fathers name as John Jones & Ellen Jones. It might not be the right one though, It doesn't mention anything about John Jones being a shoe maker
The actual William Jones below
Possible William Jones in 1861 census