Jean, I believe that tune was originally used for "While Shepherds Watched" quite some time before it was used for "Ilkley Moor".Dicho, "Songs of Praise" gives two tunes to O Little Town. One is "Christmas Carol" by H Walford-Davies, and the other is "Forest Green" English Traditional Melody, words by Bishop Phillips Brooks (1835-93). As Vaughan-Williams was co-editor of this book, I presume that is the one you refer to. In England, anyway, Forest Green would account for 90% and the Walford-Davies for the other 10%. I've never heard either the Burnap or the "common" Radner versions.
WassaiL! V