I also just ran across a third May song, The Front Porch String Band's "One Morning In May," which can be heard here.

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O THE WIND AND RAIN
“Twas in the merry month of May"

O the Wind and Rain · Laurie Lewis    https://www.youtube.com/watch?v=ZPlIPsKBp6U

Album notes forLaurie Lewis    https://www.laurielewis.com/and_laurie_lewis_notes.pdf
O The Wind And Rain · Peggy Seeger    https://www.youtube.com/watch?v=Z_8eCRD3_ik