I just went and explored my LPs. On the Derek & Dorothy Elliott recording (from 1976), they thank Tony Heald of the Leeds University Institute of Dialect and Folk Life Studies, for permission to use two songs collected by Colin Wharton from the singing of Arthur Wood of Goathland, Yorkshire — The Tailor's Breeches and The Old Woman From Yorkshire.

Given the proliferation of recordings of traditional singers I'm surprised the source version isn't available somewhere (it might be, but I don't know of it).