Hi, WAvery -
John was father of Alan Lomax. Bess Lomax Hawes was a song collector, too - she was Alan's sister.
No Lomax brothers that I know of.
I'm listening to the Tradition CD by Leadbelly, In the Shadow of the Gallows Pole. I can't figure from the liner notes when this was recorded, but it seems to be the same as what you transcribed - a medley of "Looky Looky Yonder, Black Betty, and Yellow Women's Doorbells" (which I know as "On a Monday"). Looking again at the Oak Publications Leadbelly Songbook, I think it's a pretty good transcription of "Looky Looky" - it just doesn't include the other two songs from the medley. -Joe Offer-