Born about 1755 as married in 1774, perhaps earlier as Betty born in 1751. Only one matching record for Bolton, son of John and Jane. However, James baptised 23 Sep 1753, son of John Mather and Jane Holt died aged 10 so this cant be him!
Living in G.B. when married
Likely a brother Richard Mather, as family used Walmsey chapel for the baptisms. Also, Isaac, James and John are reoccuring family names.
Very likely brother of William, both of Goose Cote Hill.
Not the son of William Mather of Heaton, Weaver. Heaton (Bolton) is between Deane and Halliwell, about 2 miles West of Bolton, but this Heaton is Manchester, so probably not that James.