The following extract, from a long(ish) topic on Grey Wife Sike last year, is one little snippet. The link to the whole topic is:
https://ukcaving.com/board/index.php?topic=26321.0
the shakehole where Grey Wife Sike ends was named "P1" by the Yorkshire Geological and Polytechnic Society when they did their classic water tracing programme on Ingleborough in the late 19th Century. They also successfully traced it to Moses Well ("S7") in the bottom of the Clapdale valley.
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P1 is definitely the shakehole which the present O.S. map shows the downstream end of GWS leading to (at SD73257125). The late 19th C YGPS map shows this clearly, with a drainage line running confidently from it straight to Moses Well. (Incidentally this is almost perfectly parallel with the line of the North Craven Fault, also shown on the same YGPS map.) It's a long way down the fell from the Newby Moss Pot / P2a / P2b group.
The above YGPS test is the only one I'm aware of in your area of interest.
Most of the drainage on that side of Ingleborough goes either NW or SE, due to a combination of the main joint / fault trends and the trend of the ridges & valleys in the ancient basement rocks below the limestone. This is why there are no large risings between Ingleton and Clapham. Blindfield Well next to the back road near Cold Cotes is a reasonable sized spring after a long wet spell but its flow characteristics and absence of peat staining strongly suggest a localised percolation catchment. (It's an essential farm water supply so must not be interfered with.)
The spring I've always been interested in is the one in the upper part of Jenkin Beck, next to the footpath from Slatenber to the Crina Bottom track. If anyone has traced any sinks to there it'd be great to see the information in this topic.