This has turned into a really good subject. Many thanks to everyone who has contributed and resolved my original queries (and more!)
In the late '80's and early '90's we used to have evening trips into Derbyshire straight from work, looking at things that most Saturday trips would not bother with. One last query from that time is about the Crab Walk.
We attempted to traverse the Crab Walk at high level (going down stream). Starting from the traverse where you leave the high level Crab Walk to go to the Windpipe, we dropped back into the top of the Crab Walk and traversed (using mostly friction) as far as we could, staying as high as could. After some time, we were stopped as the passage became too wide. From my notes (and memory) it was as though we had entered a small shaft, which was very drippy. We could not get close enough to look up it, and we said we would return and bolt it, but we never did....