The National Song Book, from which Nigel Parsons has quoted lyrics above, was first published in 1906, and was later revised. My edition is the first (London and New York: Boosey and Co.), subtitled "A Complete Collection of the Folk-Songs, Carols, and Rounds, Suggsted by the Board of Education (1905), edited and arranged for the Use of Schools by Charles Villiers Stanford". Incidentally, S. Baring-Gould and Cecil J. Sharp edited another songbook on a different selection to "meet the reqirements of the Board of Education" in 1906: English Folk Songs for Schools.

As to JOAN TO THE MAYPOLE, Claude M. Simpson says in The British Broadside Ballad and Its Music (Rutgers, 1966):

The ballad is based on a short song in William Hick's Oxford Drollery, 1671, and in Windsor Drollery, 1672; the full broadside text is printed in all editions of Pills, 1719-1720, IV, 145, with music for which I can trace no title or earlier use. 'A Mock to Joan, to the May-pole away let us run, And to that tune,' beginning 'Tom to the Tavern away let us run,' is in Mock Songs, 1675." (p. 386)

In addition to the version above, William Chappell, in Popular Music of the Olden Time (1859; Dover, 1965, vol. 1, p. 303), quotes two stanzas from another version (as well as the Pills version):

Joan, shall we have a Hay or a Round,
Or some dance that is new-found?
Lately I was at a Masque in the Court,
Where I saw of every sort,
Many a dance made in France,
Many a Braule, and many a Measure;
Gay coats, sweet notes,
Brave wenches--O 'twas a treasure.

But now, methinks, these courtly toys
Us deprive of better joys:
Gown made of gray, and skin soft as silk,
Breath sweet as morning milk;
O, these more please;
[All] these hath my Joan to delight me:
False wiles, court smiles,
None of these hath my Joan to despite me.

~Masato