Green’s Dictionary of Slang

barn n.1

[Highbury Barn, north London, site of one of the last such venues]

a public ballroom.

[UK]J. Ware Passing Eng. of the Victorian Era.
[UK]A. Ayckbourn Ten Times Table I i: Yes, well, it’s a bit of a barn, I’m afraid. But it’s cheap. They don’t have so many dances these days.