"Jennie Jenkins" is a very well known children's song from the mountains. It is another example of a play-party song like "Skip to my Lou" and "Swing & Turn Jubilee" , in which the features of dances to which religious people objected (fiddles and couples touching) were eliminated and replaced by children's games. It has been collected all over the Southern Appalachians as well as the north. It is especially associated with Vermont where it was collected and recorded by Mrs. Alice Brown, July 24, 1930, in Bethel, Vermont, from the singing of Mrs. Susan Chase, as learned from her aunt when a little girl. It was printed in John and Alan Lomax's Best Loved American Folk Songs (1937). I learned this song long ago in elementary school.