Probably would have looked a bit like this (Russian Event):


But also to consider is that people on the field may misjudge the competency of the individual they engage in combat. Particularly in 15th century combat there are a whole variety of weapons that can find their way onto the battlefield - poleaxes, great axes, long sword, sword and buckler, bills, two handed swords, mauls, you name it! As an archer with a buckler and falchion, I tend to avoid those with axes and poleaxes as they tend not to (or not be able to) control the downward strike of the weapon (and they inevitably ignore the H&S call for no head shots).
My buckler from a 2007 Whitby event:

Shot with
N70-1.The dent you can see is about 1 cm deep into the boss. It was made by a guy weilding a poleaxe which he brought down vertically towards my head. If I had not had the ability to block this blow with my sword and buckler in the correct way, it would definately have broken my arm. As it was, the two guys behind me lost confidence and ran back to their line with the other archers leaving me at the side of all the advancing bill lines.
Afterwards, I commented on this to a re-enactment colleague, who infuriated me by saying that the poleaxe guy was 'the best swordsman he had ever seen' and who had probably sized me up as 'knowing what I was doing'. Great. But what if I had not.... I'd have been nursing a pot on my arm...or a hole in the head...
Unless someone has had a large amount of training with unusual weapons, and knows when to halt a blow, perhaps that helps - but generally I would suggest some kind of standardised weapons on the field, or allow arrangements for engagegments betewwn guys who had a routine for the battlefield together and had trainined together with the unusual weapons.
There is no such thing as a 'safe weapon'. It is ALWAYS the person's competence to weild the weapon, and the opponent's ability to cope with how to block the attack from it. Health and Safety has to put its foot in somewhere.
“In these modern times, many men are wounded for not having weapons or knowledge of their use.â€
- Achille Marozzo, 1536