Love seeing this report - Brooklands is a wonderful place. I live close by (ish) and have been a few times. I think it's worth mentioning that you can actually go inside the Concorde!
https://www.brooklandsmuseum.com/exp...rde-Experience
NB. I don't think anyone around here would describe Weybridge as "the far outskirts of London".
Also, for any 5km runners, on Saturday mornings at 9am there's a Brooklands Parkrun - outside the museum, but taking in a disused runway and part of the banked motor racing circuit. When I ran it the volunteers giving the briefing were keen to talk up the aviation heritage/theme:
https://www.parkrun.org.uk/brooklands/course/
Yes! The Concorde is a small supplement on top of the admission but I passed since I went into the one parked on the Intrepid in New York years ago.