Well Mark,I looked through my limited music library and came up with several tunes that I thought might or might not fit your inquerry: "Shake It Up Baby, Shake Rattle and Roll, Whole Lotta Shakin'Goin'On, and Milkshake Rag." Then I came across an old tape called "Shakin' Down the Acorns" played on hammered dulcimer.
"Shakin' Down the Acorns" is the second cut on side one off Tony Elman's 1984 tape of "Shakin' Down the Acorns" produced by Acorn Music. Most of the tunes represented here are old fiddle or harp tunes. This is an instrumental rendition, so I can't be sure if this is the right tune. However, you might research Tony Elman and see if he knows the words to the song you mentioned.
wdyat12