Another airfield not far from Stapleford / North Weald is:
Panshanger - EGLC
I have found a webiste for a flying school based there:
Take Flying Lessons at Panshanger Aerodrome – North London Flying School
Note I have never been to the school, airfield or anything else to do with the company. I don't even know if there are other flying clubs based at Panshanger.
Thought I would just include it in the list of airfields and clubs around the London orbital.