There is a William HARGREAVES who is renting a dwelling place on the south side of Finkle Street in Kendal, mentioned in a conveyancing on 1763. This was the year after his daughter Jane married a soldier, James RENNISON.
There is a christening record for a William HARGREAVES on 28 Oct 1716 by Thomas HARGREAVES, but there is no location provided.
Thomas went on to christen Ann HARGREAVES on 23 July 1718, Mary on 7 Mar 1722, Thomas on 6 May 1723, John on 30 Aug 1724, William on 18 Feb 1727 and James on 11 May 1729.