I tend to still dispatch chickens the way my grandma taught and explained to us kids.
Grandma was.. well a New Testament Christian and she had very strict rules about not eating blood and this meant, to her, completely bleeding out. (Acts 15:20
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An axe, a stump, small hangman noose with a short stick tied on end, empty paint buckets with bottom cut out and a chicken.
She had a small pen area behind the barn and 10 empty paint cans hung on the barn wall. She placed the chicken under her arm and slipped the noose over the bird"s head, she'd even thank the bird by it's name something about feeding the family.
She would lay the bird on the stump and with her right foot placed on the stick at end of noose pull bird back till neck was straight, with left hand holding bird down in center of body she would whack it's head off and with both hands toss bird off to the side. Yes, chicken ran around with no head and eventually flopped over motionless. She'd pick bird up and place upside down in the empty paint can.
She explained that the bird flapping around on the ground with no head, just a muscle reflex, caused more blood to come out and hanging it upside down was just to finish the job and hold bird till next step.. For what it's worth that's how I still do it. Note: the pen where the bird was tossed was small around 6 by 6, at the end of the day, after blood had dried, we turned dirt over.
Being kids back then, we did once hypnotize a chicken before whacking it's head off. Placed chicken on stump, ran one finger from top of bird's head down the beak and a few inches in a straight line... bird become motionless, no need to hold it and then whack it's head off... bird was still motionless after that. First time I remember my Grandma really being angry at us.