Matt, I don't know that a black person would need to identify the girl as black. Why not just "girl"? I understand your point, though. I just don't know that I'd agree with it. In all cases.
#'s right too. I know some folks who sing what originally was racist songs, and they changed words. They did it so deftly that I sang along with the choruses for years before I looked up the originals.
But Matt's comment about the title "Are racist, but traditional, songs OK?" Could be shortened to "Are racist songs OK?" Not unless you're doing an historical program of racist songs. "Hey, people, folks used to sing this sort of thing in public." We adapt songs. Other's we may just make note of and forget about.