I note their children were born in Hillmorton.
John 1737, Elizabeth 1739, Mary 1740, Sarah 1748, Thomas 1750.
Sadly the baptisms do not give any detail on occupations, which later records did.
If this is Mary Atkins below it suggests they did not follow the English naming pattern, this may make it more difficult to be clear on John. Movement between places in that period was not uncommon, especially if the were involved in agriculture, land owners would move people around.
Mother Ann Atkins
Father Thomas Atkins
Birth 14 Jun 1713
Baptism 28 Jun 1713 Hillmorton, Warwickshire, England
A John Watts probate is listed on Ancestry but only that below?
Record Type Probate
Death Date Abt 1768
Death Place Hillmorton, Warwickshire, England
Probate Year 1768
Jno Watts Burial 30 Aug 1768 Hillmorton
Colin
Perhaps you could post the criteria linking John to Yardley Hastings.