Francis Cutting's variations on "Greensleeves" are in Cambridge University MS Dd.3.18 fol. 8v (lute) and Dd.4.12 fol. 25 (cittern). John Ward has noted that "Greensleeves" is a descant on the romanesca ground, and gave a setting for two lutes of the treble and ground from Folger Shakespeare Library MS 1610.1, f. 5 in 'Music for a Handefull of Pleasant Delites', Journal of the American Musicological Society, X, 157 (1957). Being of no fixed melody, "Greensleeves" was somwhat different each time it was set down.

John Ward in 'Music for Elizabethan Lutes' I, 1992, Appendix F gives an inventory of John Johnson's lute scores, which does not include "Greensleeves". Appendix G is a discography of recordings of Johnson's music, but he points out for one by Anthony Rooley and James Tyler that includes "Greensleeves", that the tune is misattributed to Johnson, and should be 'anon'.