Years ago when I took part in a historical re-enactment there were several songs which we sung which may, or may not have been genuine Elizabethen. The two which I remember best were short funny songs. one was a round called, I think, "The White Hen she Cackles" and the second may have been "Oot Ray Me" and had lots of quasi latin words. I'd be keen to find out if either of these are genuine.