Here is the tune for William Wooton's set as quoted above.

X:1
T:The Cherry Tree Carol
S:William Wooton, Hindman, Knott County, Kentucky. Sept.21, 1917.
N:Noted by Cecil Sharp
N:Pentatonic. Mode 3.
N:Child 54, Roud 453.
B:Maud Karpeles (ed.), English Folk Songs from the Southern Appalachians, 1932.
L:1/8
Q:1/4=100
M:3/4
K:G
G2|(Bd) Hd2 e d|(BA) G2 (ed)|(dB) d2 (eB)|
w:When Jo-*seph was a young_ man, A_ young_ man was_
d4 (BA)|G3 B A G|E2 D2 (DE)|G E D2 G2|
w:he, He_ court-ed Vir-gin Ma-ry, The_ Queen of Ga-li-
B4 (BA)|G3 B A G|(ED) D2 (DE)|G E D2 B2|G4|]
w:lee, He_ court-ed Vir-gin Ma-*ry, The_ Queen of Ga-li-lee.