As mentioned earlier, the modern song utilizes the tune - and the theme of deception by a woman) of George Ware's 1863 patter song, "She'd a Black and a Rolling Eye." Kudos to John Baxter for calling this to our attention:

https://folksongandmusichall.com/index.php/shed-a-black-and-rolling-eye-railway-version/

You can here Bill Botting's performance of Ware's song in Sussex in 1968 here:

https://sussextraditions.org/record/black-and-rolling-eye-the/