Unfortunately, I can't find any of the family in 1881
A summary of the evidence:-
Mary Jones, daughter of James, a shoemaker, and Mary, baptised in Burwardsley, on 29th December 1875.
GRO index mmn Price
She is the only Mary baptised in, or near, Burwardsley at that time
On her marriage, she was the daughter of James Jones (deceased).
In 1901 she gave her birth place as Burwardsley.
In 1891, I think she is a servant, b Burwardsley, with Thomas Brereton, a farmer, in Broxton.
David