I first encountered this song in the series "The Music Connection."
It can be found at the University of the Redlands Kodály Center for Music Education.
Below is the source mentioned at the Kodaly Center: Negro Folk Songs, the Hampton Series, Books I-IV, found Archive.org.
Also found in the Weekend Book, edited by Francis Meynell, John Goss, Vera Meynel; Nonesuch Press, 1927. Apparently this book was meant for weekend parties and had a selection of poetry and songs - for adults, not for children.
It was also found in The Book of Diversion, compiled by Adams, Taylor, & Bechdolt; New York: Greenburg, 1925. This seems to be another compilation book of poetry, quotes, and songs for parties.