Slightly warmed water, or saline, from a large syringe or a saline solution bottle, GENTLY sprayed on the wound will help flush it out. Or, even better, if your birds will allow you to hold them under gently running tap water for 10 minutes, the rushing of the water will softly remove old blood, pus, crusty stuff, etc, and help you see a little more of what's going on.
And I wouldn't do this with your duck's eye. I think irrigation might help you with your chicken. Or maybe sitting her in a warm water bath like what I've seen in videos for chickens that are egg bound could help clean the wound. But you have to balance that with whether it will make her cold after - she'll need to get dry, etc.