Bryan Creer (TheSnail on Mudcat) wrote a Noteworthy/ABC converter a few years ago. Might be worth asking him if it's still available and what it can currently do.

Here's the 6/8 version of your corrected tune:

X:2
T:Queen of Heaven
C:Ann Magill
M:6/8
Q:1/4=94
K:C Dorian
zC|C2EE2F|E2DC2
w:How deep and clear, these win-ter skies!
w:The God-dess spins an-oth-er year
w:My won-der's deep-er than my speech,
C|E2G G2A|B2B G2
w:How in-fin-ite these shin-ing stars
w:An-oth-er thread in her de-sign
w:My won-der's great-er than my heart,
G|B2B c2B|A2G F2
w:The earth in dream-ing slum-ber lies
w:Our plea-sure's song and sor-row's tears,
w:I pray that in Her Tap-est-ry
F|E2F E2D|C2B, C2||
w:And won-der cracks my awe-struck heart.
w:The weave of flesh and warp of time.
w:I'll know the joy of my small part.
%
P:Chorus
C/C/|F2F E2D|C2D C2
w:To the Queen of Hea-ven is my prayer
E|E2G G2A|B2B c2
w:'tis She who spins the Thread of Time
B|A2G F2F|E2F E2
w:'tis She who twines the sun-light clear
D|C2B, E2D|C2B,C2|]
w:And weaves the Tap-est-ry of Life.