My very favorite version of "Bury Me Not" was recorded by Joe Hickerson on the second volume of his two-volume set, "Drive Dull Care Away" (Folk Legacy C-58 and C-59). With the recording, you get the usual copious notes on the song's origins. Joe got the melody and some of the words from the singing of Fields Ward of Galax, Virginia. After being introduced to Fields Ward by Indianapolis musician Pat Dunford, Joe collected Fields Ward's singing for the Library of Congress Archive of Folk Song around 1963.
By the way, Peter, I highly recommend both volumes of "Drive Dull Care Away." Great songs, great notes. Just ask Rick Fielding. Kath