There was a Samuel Ainsworth christened in Pott, Shrigley, Cheshire in 1721:
"England, Cheshire Parish Registers, 1538-2000," Samuel Ainsworth, 04 Nov 1721, Christening; citing 23, , Pott Shrigley, Cheshire, England, Record Office, Chester; FHL microfilm 2,105,376.
Don’t know if this is your man but there you are. Good luck!