I went down to Grandfather's hall.
There I heard an old man call.
His beard was flesh; his mouth was horn;
And such a creature was never born.

(from GRANNY, WILL YOUR DOG BITE AND OTHER MOUNTAIN RHYMES, Gerald Milnes, 1990, collected in WV.)

Below is a longer, but broken-down, non-rhyming variant of the same riddle:

He was neither No-e* nor No-e's son,
but was with No-e in the Ark.
His robe was neither silk nor wool.
His beard and hair they both were flesh.
Never married, he had many wives.
And a short sermon that once he preached
that made a man go out and weep.

* Noah

(AMERICAN FOLK TALES AND SONGS, by Richard Chase, 1956)

Kent

HINT: The "short sermon that once he preached" is mentioned in Matthew 26:75.