The bleeding part is hard to relate to, but the behavior as described is likely learned by getting food rewards. I can train them out of it pretty quick but little kids at 2 years not old enough. I would keep such little ones away from birds you do not know very well and still supervise. What I would do is look at you past interactions with pullet to determine how she was conditioned to peck so aggressively. I have a good guess.I hear you. We won't hesitate if she continued to hurt the kids. She hasn't pecked since the day I wrote this post and started poking her back or just pushing her away with my shoe.