The tune for that version of The Handloom Weaver and The Factory Maid is based on a Welsh tune which I think (I'll check this later) is also in 5/4.

Somebody mentioned 3/2 - The Lass from Hexhamshire is a fine example of that. I haven't heard any songs in the more syncopated 3/2 rhythm of some of the old Lancashire Hornpipes.

Anahata