8th February 2010. In response to my request to the Upper Dales FH Group, Tracy added the following information:
"I think the MARRINER family may have had a connection with Barningham - there's a rather vague baptism in 1757 in A'dale of 'John natural son of John' which could be interpreted either as 'father was a widower from Barningham' or 'mother was widow Barningham' or any combination thereof!
However, there were lots of Marriner records in Barningham and that's the parish which Margery Marriner came from when she married Thomas Douglas.
There are 4 relevant Arkengarthdale burials - John 1738, John 1769 (could be your
man) and Margaret 'wife of John' 3 May 1766 & Margery 'wife of John sen' 8
May 1766. If the 1770 document names John's widow as Elizabeth, it looks like he married again after his first wife died. I couldn't manage to match up either Margery or Margaret with a Peacock who died in the right time frame though.