I didn't respond to T's comment on 17th century material. Lyrics for all English song books with music, 1596-1622, are given in Edward Doughtie's "Lyrics from English Airs'. Doughtie doesn't give the tunes but most can be found freprinted somewhere. This does not include Thomas Campions songs or madrigals.

There's practically nothing from then until 1651, and contents of all songbooks with music from that dat to 1702 are indexed in Day and Murrie's 'English Songbooks'. This also includes all in all editions of 'Pills to Purge Melancholy'. There are many other songs (lots of bawdy one) in the drolleries, which were printed without music. Those which cited tunes for singing usually called for tunes also cited for broadside ballads, and all of these that are known are given as ABCs on my website (from C. M. Simpson's 'The British Broadside Ballad and Its Music', 1966.)