Have a look at "The Caves & Karst Of Whibarrow, Cumbria" by Phil Murphy (BCRA Caves & Caving 84 pp.28-31, Summer 1999).
This is an extremely useful source of information on that area. It would have been even more useful if the actual reference list which Phil supplied with the article had actually made it into the pages of the journal at the time.
If you do go for a look please can you post something about the site on here? (Or if you prefer not to I'd be grateful for a PM with the basic information about what you found).
Good luck.
(P.S. if you can't easily get hold of this reference send me a PM anyway and I'll look it up for you.)