In 1841, Ann (10) and Robert (7) were possibly step-children of Richard, living with him at Club Houses, Sharples. Ann took the name Mather and named her father Richard on her 1859 marriage.
Ann seems unlikely to have been Richard's daughter as he was only 15 when she was born, although Elizabeth was older. However Richard Mather, carder, was recorded as the father on the 1851 census and on her 1859 marriage record. Also Ann names her children after her grandparents Richard and Hannah.
In 1856, Ann had a son Thomas Wilkinson. The burth was recorded in Halliwell, and Ann (actually not married) recorded the mother's maiden name as ROPER, so Thomas is possibly her mother's (maybe illegitimate) child.
17 Sep 1859, Ann (X), 26, Tenter, daughter of Richard Mather, carder, married James Barlow, 22, grinder, son of Richard a shoemaker. Both living at Bradshaw Street, L.B.
In 1861, James and Ann (24 & 29) were at 10 Bread Street, Little Bolton with Thomas Wilkinson (step-son, 5) and Richard (son, 1)
In 1871, James, a stripper & grinder, and Ann (32 & 36) were living at 13 Bread Street, Little Bolton with Thomas (17), Richard (11) and Ann (8). There was no George.
In 1881, Ann Barlow (44, Wid) was at 30 Homer Street, Little Bolton with Richard (21), Hannah (18), George H Barlow (12) and daughter Mary E Griffith (1).
In 1886, Son Richard of 30 Homer Street married Alice Seddon. His father (James) was deceased.
In 1891, Ann (56, wid) was living on her own means at 30 Homer Street, Little Bolton with daughter Hannah (28).