For the benefit of anybody else attempting to help here, this is the 1881 census - the birthplaces should be of enormous help but it means anybody else has to search for it before they know them.
257 Ribbleton Lane, Trinity, Preston, Lancashire
James Craig Head Mar 44 Labourer in Iron Foundry Cumberland Cockermouth
Elizabeth Wife M 41 Lancashire Manchester
William son Unm 18 Piecer in Cotton Mill Lancashire Preston
Sarah daur Unm 17 Cotton Carder Lancashire Manchester
Ada daur 14 " Cheshire Birkenhead
John son 11 Cotton Creeler " "
Francis Son 9 Scholar " "
James son 7 " " "
Joseph son 2 Lancashire Preston
RG11; Piece: 4226; Folio: 72; Page: 9
There's a lot of moving about here so different places are looked at, not just Preston and/or Manchedster
Unfortunately the only way to find out the mother's maiden name will be from the birth of one of the children, perhaps you could spend time at the Record Office checking the baptisms there instead, maybe you'd have a bit of luck.