Back in the early 80’s the TSG did a similar exercise for a mining company in Derbyshire. I can’t remember the name of it but it was on the right between Calver and Bakewell at the Calver end of the road.
Chris Rhodes and I descended a similar sized shaft to recover a load of wriggly tin that had been thrown down the water pumping shaft and damaged the pumping hoses.
In return the mining company gave us access to explore another more interesting shaft on their land.
Missed this when it was first posted...
That would be the Red Rake pumping shaft, inside the now-collapsed wriggly tin shed close to the Newburgh Level, I'm guessing? It was owned by the Bleaklow Mining Company (IIRC) in the early 1970s, when they gifted the old pump to PDMHS and it was taken away to Crich though I don't know who owned the site a decade later. The shaft drops onto a branch level of Brightside Sough, which runs from Brightside Mine to a tail near Calver Village Hall.