Your original question was "What would be the correct category for the 17th century English Quaker meeting in Nottingham?"
There was a Nottinghamshire Quarterly Meeting, which would be:
Category:Nottinghamshire Quarterly Quaker Meeting, Nottinghamshire
Based on Helen's information, I did a little digging around and found this:
https://lra.le.ac.uk/handle/2381/8249
This research document has a bit on the history of the monthly meetings in that area, including the Chesterfield Monthly Meeting.
It would appear that the proper category for the intent to marry would be as it is specifically documented there, not the Derbyshire Monthly Meeting.
Category:Chesterfield Monthly Quaker Meeting, Derbyshire
The marriage itself was at the quarterly meeting, since this was prior to 1761, based on this research, the marriage should be categorized there.
Category:Derbyshire Quarterly Quaker Meeting, Derbyshire
I would argue that there should be a Derbyshire category first.
Category:Derbyshire Quakers
And the other categories should be placed under this category as there is potential for a number of Derbyshire meetings.
Now it isn't clear to me, based on what Helen added, where the marriage occurred. According the the research mentioned above, Derbyshire Quarterly Meeting and Nottinghamshire Quarterly meeting did not amalgamate until 1761, so they would have been separate meetings. You probably need to see the actual record source to determine where the marriage was held.