The song you refer to is a Black children's song, titled "Huntin'," in the Southern Mosaic Collection, 1939 Collecting Trip, John and Ruby Lomax, recorded 5-18-39. It is given the alternate titles "Let's go Huntin'" and "Come On Girls, Let's Go to-(a-)Huntin'." The WPA 1940 card catalogue (Folk Life Center) has "Let's Go Huntin'" underscored. Sung by Henry Truvillion, Texas.
As you say, it has no bearing on the discussion here.