Haven't watched the programme yet (taped & waiting until all the episodes have aired - I hate the to-be-continued thing) but it appears that she did. There's some discussion of this in the BBC folk board, wherein "Darowyn" makes an interesting point about the fact that it was a music hall tune which Tess (unknowingly or not) says is an old country tune. Can't comment further until I see the show.

http://www.bbc.co.uk/dna/mbradio2/F2142825?thread=5881052