Dear Radcliff
You are right in that the next John ie born 1799 at St C Darlington to John and Ann seems to support this.
When John snr married for the second time in 1812 , in Bowes, the marriage bond stated his occupation to be a brewer.
Your suggestion of possible employment with the Bowes Estate or maybe in Barnard Castle or in Bowes itself I will follow up, and post on.
He seems to have moved about, and there will have been breweries in Darlington.
From mid 1700s, there were Neashams ( originating from Hutton Magna) living nearby in Romaldkirk. One of these was a marriage in 1769 of a John Neasham with Anne Lumley, but I have been unable to trace any issue from this marriage, either online or through the parish indexes at Durham.
Anything you get on Ann Neasham nee Laverick, or their daughter Ann born about 1801 would be very welcome.
Thank you for your information and ideas to date.
Jackie