Appears to be mother-in-law of Andrew, but not the mother of Sarah (who's father was Richard Mather).
In 1861, Mary Haslam (63, Wid) was a lodger with Andrew and Sarah.
In 1871, Mary Haslam (74, Wid, born Edgworth) was living with her daughter Sarah Waddicor and family at Quarlton.
Mary died at Edgworth in Apr 1879 and is buried at St. Ann's.
In 1881, another younger Mary Haslam, aged 79, was at 127 Toppings Road, Turton. This Mary was unmarried.