Some of the poems of the Cavalier poets (1600s) would make wonderful songs, and some of them have. See Cavalier Poets
See esp. Ben Jonson. Some of his songs from plays and masques are included.
Not what you want, but see his "The Sad Shepherd, or a Tale of Robin Hood," to get a real taste of the poetic literature of the period.

Also see "Melismata, Mvsicall Phansies" from 1611, some with music: Melismata