You underestimate the age of the noble art of yodeling.

"In his book 'Kühreichen oder Kühreigen: Yodeling and Yodeling Song in Appenzell' (1890), the scholar Alfred Tobler reports that the first documented reference to yodeling in Europe was as early as 1545. But yodeling can be heard in Persian classical music, African Pygmy music, Scandinavian music, the Mexican son huasteco and other musical traditions. Such a range suggests it originated millennia ago and in an indeterminable place."

Daniel Sheehy
Director and Curator, Smithsonian Folkways Recordings
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I thought I was onto the Offenbach composition whe IMSLP offered to show me the entire score for 'Madame Favart', the play in which the song appeared. Sad to say, the critical pages, esp. p 192, were nothing but a blur.