I heard from Dick Greenhaus. He says the DT version is from a Burl Ives record, recorded about 1945.
I haven't been able to find it from Burl Ives, but Dick's message was enough to lead me to this:

1. Leisy, James F. (ed.) / Songs for Pickin' and Singin', Gold Medal Books, sof (1962), p 38
2. Lynn, Frank (ed.) / Songs for Swinging Housemothers, Fearon, Sof (1963/1961), p172
3. Best, Dick & Beth (eds.) / New Song Fest Deluxe, Charles Hansen, Sof (1971/1948), p 8
4. Dyer-Bennet, Richard. Twentieth Century Minstrel; Folk Songs & Ballads, Decca DL-9102, LP (196?), cut# 3
5. Gribi, Gerri. Womansong Collection, Gribi, CD (1996), cut# 8 (Cruel Youth)
6. Smith, Winifred. Ethnic Folk Songs from the South, Tennessee Squire Assoc 630D-2211, LP (196?), cut# 11

-Joe-