Renaissance songs that could be arranged for clarinet and cello?

My brother plays cello and I play clarinet. We would like to play duets at the renaissance festival (preferably as pirates :-D ) but we don't have much of a repertoire. What are some songs that aren't copyrighted and sound renaissance-y enough to be appropriate? We have worked on Two-Part Invention No. 1 by J.S. Bach, but he was after the Renaissance...could that still work? Thanks for any input.