I've found "There are angels hovering round" mentioned in DT, but no words or info. I first sang it as a praise tune in church in the late 1970s and early 1980s. I didn't realize it was considered folk until much later.

We sang a 4 part arrangement from the 1849 "The American Vocalist" yesterday at the D.H. Mansfield 200th birthday singing so I decided to look information up.

You can see it here in Google Books. "Husband" to the right of the title is the composer, but Mansfield must not have had more information. Tune is the tenor line.

Further searching in Google Books turned up an unattributed 3 part version from 1843 in Millennial Harp: designed for meetings on the second coming of Christ ... By Joshua Vaughan Himes, pt. 2, p. 21. Tune is the middle line.

There were many more printings in the 19th cent. The tune is pretty consistent until it becomes a chorus to other hymns. There are many verses that I will post next. I'm not familiar with the folk recordings, but I think the tune is pretty close.