Hi Morlock,
An interesting aerial shot there, however, the area that I think that you are referring to are the former workings for the cement works at Irthlingborough. The ironstone was mined over quite a large area between Irthlingborough & Finedon, commencing a way further north than the chalk quarry. As far as I know, there has been no subsidence from any of the mine workings at Irthlingborough.
Very interesting to scan a field or so west from the cement quarry, where you can see the overgrown final gullets of the Wellingborough ironstone quarries. Despite the manifold changes over the years, there are still many interesting remains to be seen in the area.
Cheers
Alan