I've been trying this. I searched "on top of old smokey" origins, and Google returned two responses marked AI. They were not composed by AI, however, they were copied from a site called American Songwriter.

However, I don't want AI, so I tried searching for this:

No AI "on top of old smokey" origins

and the AI responses were gone. (Typing No AI at the end of the query didn't work.)

This was just one trial, but it's easy to remember and may prove reliable.