There are two pubs in the Broughton-in-Furness area that would welcome a session, as we found this new year.
The Prince of Wales at Foxfield, brews its own great beers, and the food is excellent and reasonable too.
The Horseshoes at Broughton Mills. The landlord has a brilliantly dry sense of humour.
Ring them up to check first though, and they may have contacts with local folkies who'll come out to sing & play.