Hmmm, is she the Hannah with children Joseph, Charles, Amelia, George D, James and Alfred in Salford in the 1861 census? If so, her place of birth appears to be given as Chester, Cheshire (not Chesterfield) which is close to the Welsh border and not very close to Taxal which is just over the Cheshire border in Derbyshire. The family are pretty elusive on the 1851 census, have you found Hannah on any other censuses??
Ermy