As the Penguin notes mention, it has been suggested that Lucy/Lizzie Wan may be related to Edward.   Bertrand Bronson, in his article The Interdependence of Ballad Tunes and Texts (1944), thought it likely that the former was the older; A. L. Lloyd , in Folk Song in England, states it categorically: "Lucy Wan (out of which grew the famous piece dismally named Edward)..."

See also  The Edward Ballad,  and  Edward.,  on the DT.

I've had to submit this post in 3 instalments, as I kept getting "insufficient memory" messages; I can only assume that this is due to the particularly high proportion of irrelevant rubbish clogging the Forum just at present...

Malcolm