Not to stop any more suggestions, and not to discount any that have been made so far, but here are my favorites so far.

What do you think of these?
What would you give them out of 10?
Do these names spark any new ideas?

Mrs Winter's Jump
Heart's Ease
Hartes ease (Anthony Holborne's spelling)
Howlin' Beowulf
The Early Byrds
XXX Rides Again (XXX = ?)
Da Capo
Mr Gusto's Maggot

How about ...
The 500
... since we're playing music from the 13th to 17th centuries?

Thanks again.

Stower :-)