My Gt Grandparents just can't be found in 1901, however in the 1911 census the whole family are together Dad, Mum and three children. Dad being Thomas Nearney, Mum being JAMES Nearney (should read Janey)
Surely a transcriber can read the word 'wife' and note the name actually ends in a 'y' , why take a punt on 'James' ?
claire
I actually think it looks like Jonesy, but that's me

EDIT: This is how much luck I have with this family, my grandmother CLARA who is very clearly stated with them in 1911 had a fine name at baptism, I know its her, I have her birth Cert.
Baptism: 19 Nov 1899 St Mary Magdalene, Burnley, Lancashire, England
THOMAS Nearney - filius Thomae Nearney & Mariae Joannae (formerly Anderton)
Born: 11 Oct 1899