Some of these "songs" published in broadsides never had a tune. The singer would use a melody with the same meter and 'feel.' I couldn't find it in Sam Henry, but I only looked under Wexford.

If you find a specific tune that was used with "Wexford Lovers" let us know.

Place names often are rendered phonetically, or replaced with a name known to the singer or editor. Sometimes these names help to locate the area where the variant was sung.

You are lucky to have a photocopy of Wright's book. He collected several volumes of Scandinavian songs, which are easier to find.
Do you have the time to post an index to the songs in the volume?