Square dancing has very old roots and has endured as a pastime to present day. Its history, though, comes with some thorns, and scholars don’t even agree on its exact origin. 
Research:

        Anderson, Virginia C. “It All Began Anew: The Revival of Folk Dancing.” Western Folklore , Apr., 1948, Vol. 7, No. 2 (Apr., 1948). Via JSTOR. https://www.jstor.org/stable/1497379
        Blakemore, Erin. “The Slave Roots of Square Dancing.” JSTOR Daily. 6/16/2017. https://daily.jstor.org/the-slave-roots-of-square-dancing/
        Burger, Hans, complier. “History and Heritage of Modern American Square Dancing.” Phantom Promenaders Munich. European Association of American Square Dance. Via archive.org. https://web.archive.org/web/20040409113940/http://eaasdc.de/history/shehisto.pdf
        Dallal, Jenine Abboushi. "French Cultural Imperialism and the Aesthetics of Extinction." The Yale Journal of Criticism, vol. 13 no. 2, 2000, p. 229-265. Project MUSE, doi:10.1353/yale.2000.0016.
        Damon, S. Foster. “History of Square Dancing.” Barre, Mass. 1957.
        Gifford, Paul M. “Henry Ford’s Dance Revival and Fiddle Contests: Myth and Reality.” Journal of the Society for American Music (2010) Volume 4, Number 3, pp. 307–338.
        Hunt, Tracie. “Birdie in the Cage.” Produced by Annie McEwen, Tracie Hunte, and Matt Kielty. Radiolab. 10/23/2019. https://radiolab.org/podcast/birdie-cage
        Jamison, Philip A. “Square Dance Calling: The African-American Connection.” Journal of Appalachian Studies , Fall 2003, Vol. 9, No. 2 (Fall 2003). Via JSTOR. https://www.jstor.org/stable/41446577
        Lovett, Benjamin B. and Henry Ford. “’Good Morning’: After a Sleep of Twenty-five Years, Old-fashioned Dancing is Being Revived by Mr. and Mrs. Henry Ford.” Dearborn Publishing Company. January 1926.
        Mangin, Julianne. “The State Folk Dance Conspiracy: Fabricating a National Folk Dance.” Originally published in the Old-Time Herald, v.4(7) p.9-12, Spring 1995. http://juliannemangin.com/the-state-folk-dance-conspiracy/
        MasterClass. “All About Square Dance: A Brief History of Square Dance.” https://www.masterclass.com/articles/square-dance-explained
        Miller, Rebecca S. "Creolizing Contradance in the Caribbean." American Music, vol. 28, no. 4, winter 2010, pp. 501+. Gale In Context: U.S. History, link.gale.com/apps/doc/A401215265/GPS?u=mlin_n_melpub&sid=bookmark-GPS&xid=5ce2f07f. Accessed 1 June 2023.
        Nelson, Kevin. "Square Dancing." Encyclopedia of Recreation and Leisure in America, edited by Gary S. Cross, vol. 2, Charles Scribner's Sons, 2004, pp. 305-307. Gale In Context: U.S. History, link.gale.com/apps/doc/CX3434800241/GPS?u=mlin_n_melpub&sid=bookmark-GPS&xid=eed3a8c4. Accessed 1 June 2023.
        Optimist Daily. “The history of square dancing in America—part I of True American.” 8/12/2022. https://www.optimistdaily.com/2022/08/the-history-of-square-dancing-in-america-part-i-of-true-american/
        Optimist Daily. “The square dancers of today—part II of True American, a mini-series.” 8/19/2022. https://www.optimistdaily.com/2022/08/the-square-dancers-of-today-part-ii-of-true-american-a-mini-series/
        Quigley, Colin. “Reflections on the Hearing to "Designate the Square Dance as the American Folk Dance of the United States": Cultural Politics and an American Vernacular Dance Form.” Yearbook for Traditional Music , 2001, Vol. 33 (2001). Via JSTOR. https://www.jstor.org/stable/1519639
        Sabatella, Matthew. “Southern Appalachian Square Dance: A Brief History.” Ballad of America. https://balladofamerica.org/southern-square-dance/
        Szwed, John F. and Morton Marks. “The Afro-American Transformation of European Set Dances and Dance Suites.” Dance Research Journal , Summer, 1988, Vol. 20, No. 1 (Summer, 1988). Via JSTOR. https://www.jstor.org/stable/1478814
        U.S. House of Representatives. “Can I have This Dance?” Whereas: Stories from the People’s House. 4/29/2020. https://history.house.gov/Blog/20