I've nominated some of these as 'Traditional Song' because I don't mind which version, but I've provided links in case people want to listen.

Song: Willie O'Winsbury (Traditional Song)
Link (YouTube, etc): https://www.youtube.com/watch?v=UAvZrBEkImw
Lyrics link: http://www.sacred-texts.com/neu/eng/child/ch100.htm
Genre: Traditional

Song: Sir Patrick Spens (Traditional Song)
Link (YouTube, etc): https://www.youtube.com/watch?v=rT1r-smQkzQ
Lyrics link: http://www.sacred-texts.com/neu/eng/child/ch058.htm
Genre: Traditional

Song: As I Roved Out (Traditional Song)
Link (YouTube, etc): https://www.youtube.com/watch?v=bUiXUiWZDS0
Lyrics link: https://mainlynorfolk.info/june.tabor/songs/asirovedout.html
Genre: Traditional

Song: Prince Heathen - Martin Carthy
Link (YouTube, etc): https://www.youtube.com/watch?v=UcXWGt0VoFs
Lyrics link: http://lyrics.wikia.com/wiki/Martin_Carthy:Prince_Heathen
Genre: Folk

Song: The Cocks are a-Crowing (Traditional Song)
Link (YouTube, etc): https://www.youtube.com/watch?v=gP5suEbuRUg
Lyrics link: http://www.celticlyricscorner.net/dervish/cocks.htm
Genre: Folk

Song: The Lyke Wake Dirge (Traditional Song)
Link (YouTube, etc): https://www.youtube.com/watch?v=R46Aue8R_Fc
Lyrics link: http://www.bartleby.com/101/381.html
Genre: Traditional

Song: King James Version - Billy Bragg
Link (YouTube, etc): https://www.youtube.com/watch?v=Vhp3Ez06eTo
Lyrics link: http://www.lyricsfreak.com/b/billy+bragg/king+james+version_20018265.html
Genre: Folk