Well, well.

Your tune is the colonel's lady to my Judy O'Grady, obviously.

There is a slight variance in the melody to accommodate the syllables of the different words, and the rhythm pattern is more complex - but in essence, yes, they are sisters under the skin.   I suspect a difference in translation when the song was imported from the old country (Germany? Or Austria, as in 'Peter's Fountain'? ) which then assisted in the two pieces moving apart.

Wish I could post the melody more accurately for mine to indicate length of beat! I shall have to study up on ABC, obviously.

Thank you for making my morning more interesting,
Judith