It is very possible, indeed probable, that a great many oral versions found in America derive not so much from broadsides but from published collections. You gave me a very good example of a version of 295B which can only be derived from Child's volume itself.

On the other hand much better(dependant on your viewpoint) versions of ballads can be found in America, and some much longer earlier versions. For instance, not a Child Ballad but argued by some should be, the Bramble Briar has American versions much closer to the original than any British ones. All of the British ones are fragmentary by comparison