In 1841, Sarah Mather (35, Weaver) was living with Thomas and Mary Grundy (both 50) at Waterloo, Little Bolton with Ann (10) and John (1), about 4 doors away from Samuel and Alice Mather, but are they related?
In 1829, Sarah Mather married James Grundy, and possibly already had his daughter Ann Mather before they marrried, Then James may have died and Sarah lived with his family, keeping her Mather name.
Sarah was born in Ringley, about 3 miles SE of Bolton according to the 1851 census.
Sarah and William Mather were both single when they married. Acording to Sarah's second marriage in 1844, she was Widowed, and her father was John Bailey. George Brooks's father was James Brooks.
Sarah had Ann (b.1833) and John Mather (b.1840). She was aged ~35, living at Waterloo in 1841. Betty Bayley (18 wks) her niece was present. The Mathers were living with Thomas and Mary Grundy (and William and Betty Grundy).
She probably had a sister-in-law Fanny Bayley, also from Ringley.