From Cavalier Songs 1642-1684, Edited by Charles Mackay:

This song, says Mr Chappell, in his Popular Music of the Olden Time, which describes with some humour the taste of the Puritans, might pass for a Puritan song, if it were not contained in the "Shepherds' Oracles," by Francis Quarles, 1646. He was cup-bearer to Elizabeth, Queen of Bohemia, daughter of James I., and afterwards chronologer to the city of London. He died in 1644, and his Shepherds' Oracles were a posthumous publication. It was often reprinted during the Restoration, and reproduced and slightly altered by Thomas Durfey, in his "Pills to Purge Melancholy," where the burthen is, "Hey, boys, up go we."