Jim
Is this your family in 1881?
RG11/4914 Folio 7 Page 7
No. 41 Blue Row, Bishop Auckland
Margt Barnwell 52, Widow, b Ireland
James 24, Coal Miner, b Bishop Auckland
Margaret 18, b Bishop Auckland
William 17, Coal Miner, b Bishop Auckland
Edward 15, Errand Boy, b Bishop Auckland
Frank 12, b Bishop Auckland
If so, in 1891 Margaret and William Jnr are still living at Blue Row and she gives her birthplace as Monaghan, Ireland.
William Snr appears to have died between 1871 & 1881.
Hope this helps.
Sheila