I'm not seeing extensive documentation for this. We should reference the sources that provided the original poem and some commentary on it - the 'Rymes' book and the Kalamazoo web page I linked to in an earlier post. The play post-dates the ballad, and seems to descend from it, but I've got no sources that indicate ballads were enacted as sung dramas.
I can cite "Stations of the Sun" on the Robin Hood cycles being heavily associated with the May Games and transgressive behavior, to support a comedic presentation.
...yeeeah. I haven't really done any research into the staging of medieval or Tudor drama, so this is definitely a case of, "Look, this is a period source, which makes this a period performance, right?" So I'll just cop to the fact that the performance itself is based on air and fairy dust and our own opinions, but that some kind of Robin Hood dramas were staged in the 1500-1600 timeframe.