They really wouldn't have needed the poison as such. Any of these weapons which were used, might have been wiped down and possibly treated with a light oil or other surface protectent. So, wounds caused by period weapons no doubt would have been infected with all manner of residual bacteria from the last event or person's blood.
Of course the period people would have been unaware of this factor, at least from a causual point of view.
Poison, they did use it on projectile weapons. In Europe there were continued attempts to do so, well into the firearms era. Although I'm not sure how any compound applied to, and fired out with a musket ball could have been effective.
Have to remember however, in warfare in Europe- they did have a long tradition of using biological and chemical elements to their tactics. That's how the bubonic plague got into Italy, it was the result of a siege tactic which had unintended consequences on the besiegers.
