I’ve pretty well got this one down now, if the music is in front of me.  So far I can do:

Auld Lang Syne
Greensleeves
Mary Hamilton
Geordie
Scarborough Faire
The Trees They Grow High

I have quite a bit of music, thanks to Alicia and Elspeth, and my uncle lavished cd’s on me that I haven’t yet had a chance to listen to!  They are:

Shakespeare in Song: Charles Bruffy and Phoenix Bach Choir
Nutmeg and Ginger: Spicy Ballads from Shakespeare’s London
Elizabeth’s Music
The Lady and the Unicorn: John Renbourn

Sorry, I couldn’t find an Amazon link for the Elizabeth’s Music.  It’s by Dorian Recordings.