A few extra snippets.
In the Newcastle Courant, Feb 26th 1820. In a list of burials at Berwick and Tweedmouth.
"On the 20th inst., Mary wife of Mr. James Park, Innkeeper, aged 42."
Its just a couple of weeks after the baptism of son James, so likely due to birth complications.
The Joseph Park, Innkeeper, who died some time before 21 Sep 1824, didn't leave a will (intestate). The first claim on his estate was by a Lawyer (Addison Thomas Steavenson) so presumably he had written evidence of what he or his client was owed in loans against property etc.
The second claim was nearly a year later, must have been for the rest of his estate, a bond for £600 was a substantial sum. It must have been complicated if it took so long to prove entitlement.
The Joseph Park, Innkeeper at the Cannon in Berwick in 1826-1828 didn't inherit it as he went bankrupt in 1828. From the Edinburgh Gazette :
"The Court for Relief of Insolvent Debtors.
At the Guildhall, in and for the Borough of Berwick upon Tweed, on the 21st day of April 1828.....
Joseph Park, late of the Borough of Berwick upon Tweed, Tavern Keeper."
I wonder if it was your James who scooped the lot, then blew it before he died (or passed it on to his sons). There is a long delayed project to put Durham Diocese Wills and Probate records on the net, or you can order copies. Maybe best to wait for them to go online as I am just speculating.
Alan.