Well, the hymn that I was thinking of finally came to me. It's an F.E.L. Publications "Folk Mass" song from 1966, so it's newer than the Woody song.

I'll post just the chorus and the first of ten verses. It's the chorus that has a melody similar to "Mail Myself to You."

We Long for You O Lord
(Rev. Cyril A. Reilly)

We long for you O lord
We long for you O lord
Come make us one with you in love,
We long for you, O lord

CHORUS
Risen Savior, king of glory, come to us in mystery.
Let us share your death and rising till you come in majesty.