This site also has a lot of information if you've not seen it.
http://freepages.rootsweb.com/~mbonsal/genealogy/bonsal/notes.htmlThey seem to have found what evidence there is................., although it doesn't look like they have found the Quaker records back in Derbyshire.
Richard Bonsall was said to have been baptised 17 March 1641 at Hartington.
Here is his baptism if you've not seen it.
You'll find a lot of people from this area went to Hartington church, or sometimes Alstonefield.
I have people who move about from one to the other - it worth checking both.
Familysearch have the registers, and you can view them for free at home as long as you're signed in.
Unfortunately I can't see any wills for these people either on findmypast or TNA, which would have been very handy.
Have you searched The National Archives Discovery site?
https://discovery.nationalarchives.gov.ukYou could try seeing if they hold Quaker records, or know where they might be.
You could also search for the Bonsall family in Derbyshire - unfortunately you'll have to weed out all those hits that come up with the name of the place Bonsall in them.
This is an interesting one -
https://discovery.nationalarchives.gov.uk/details/r/C5914826The family would seem to go a long way back in this part of Derbyshire - here a Richard Bonsall of Heathcote, (where the family is said to come from), is 70 years old in 1562...............
The National Archives also hold, or will tell you where they are, lots of manor court records.
It may be worth looking at the Manorial records for Hartington/ Alstonefield/ Ashford to see if any of these people are mentioned.
https://discovery.nationalarchives.gov.uk/manor-search