Genie, I was thinking of versions - perhaps cobbled together - that logically end with the very clever irony of having "made a wealthy marriage" and sending champagne to her parents, who hypocritically enjoy   it even though "they never can forgive."

Some of these then pick the story up again on the bridge. Either conclusion makes poetic sense, but not both together.

It's also unclear whether the "bridge" stanzas were originally printable or otherwise. In fact, that goes for the entire song, though what evidence there is suggests that it was considerably tidied up for wider circulation.

A tune that bears a close similarity is "In and Out the Window," which is used for other British bawdy songs.