In the 1901 England Census John Jones is born Wolverhampton, Staffordshire,
1891 says Walkhampton, Staffordshire, 1881 Bilston Staffordshire.
The family you have in 1861 does look like the same one as in 1871.
I have found marriage records in the records of St Paul in the Parish of Walkden for:
Eliza Jane Jones father occupation labourer 17/5/1884. Witness William Jones & Phoebe Jones.
Alfred Jones grooms father occupation plate layer 1/8/1885. Witness Pheobe (sic) Jones.
Does anyone know what (sic) refers to?
Phoebe Jones father occupation Navvy 17/10/1885. (Navvy was a term also applied to the workmen employed on building rail tracks, their tunnels, etc.)
Emma Lavinia Jones father occupation labourer 20/4/1889. Eitness Harriet Ann Jones
Richard was deceased by the time Phoebe and Emma were married.
It appears Richard's occupation (or name thereof) frequently changed.
If I could find John's birth record but it seems to be alluding me!!!