Thomas Ravenscroft, Deuteromelia, 1609. See Mault's come downe.

The tune also appears in The Fitzwilliam Virginal Book in an arrangement by Byrd. William Chappell (Popular Music of the Olden Time, 1885, I, 74) commented '...it appears that Ravenscroft, in arranging it as a round, has taken only half the tune.'

Quite a few people from the folk and early music worlds seem to have recorded arrangements of it. The words are as you quote them (though spelled differently by Ravenscroft, of course); there doesn't appear to be any more, though it's perfectly possible that there have been modern additions, I suppose.