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Nathaniel Booth married Mary Ashley(as transcribed) 14 May 1781 at St Wilfrid, Standish.
Nathaniel Booth who died in 1820 was aged 59 , so born c1761, and may well be the same man who married Mary in 1781.
There are no online records of baptisms to Nathaniel and Mary, but it is a fairly safe bet that a woman old enough to marry in 1781 won't be having children much past 1800. Hannah Booth was born c1813.
Two possibilities are:
1) Mary died and Nathaniel had more children with a younger wife.
2) Nathaniel father of Hannah is a son of Nathaniel and Mary.
There are two further marriages of a Nathaniel Booth at Newchurch in Rossendale:
23 April 1804 to Ann Covert
3 September 1811 to Alice Collinge. (as supplied by Duck, above)
Although marriage records from this time should show whether someone is widowed or unmarried, they don't always, and these two transcripts on Lancs OPC don't give any clues as to whether it is one Nathaniel Booth marrying for a second and third time, or more than one.
There doesn't seem to be a burial for Mary Booth at Newchurch who is obviously Mary wife of Nathaniel.
There is a burial of Ann Booth, wife of Nathaniel of Hareholm in 1810.
A Nathaniel Booth of Hareholm was buried at Newchurch in 1812 - but as no age is given we can't say whether this is an adult or a child.