Agree about the song, though I think the "haunting" aspect mostly comes from the historical context, as I discussed way back when, also a bit reminiscent of the effect when a movie psycho-killer likes to hum or whistle a certain tune. I think almost any song, but lullabies especially, are vulnerable to that, "gone to sleep" being a common if not universal euphemism for "died."
I'd never heard of Asch's and Vogel's works, and glad to know about them.
This post (almost ten years old!) was from a discontinued blog, but it turns out I still had the MP3 file in the archives. So the above link should now function. I purchased the file for I think around a dollar back in 2009.
I also found a version on YouTube: https://www.youtube.com/watch?v=vNMziun2QMA