My grandmother could get a chicken to break its own neck. Birds keep their heads on the level when flying, and she'd hold the chicken so its wings were pinned to the body, then wave it around in a certain way so that it was constantly keeping its head level, then she did a maneuver so fast I never figured it out and snap! The bird broke it's own neck trying to keep its head level.

Then off with the head with the wood-splitting hatchet, and she hung the body from its feet from the clothes line to let the blood drain out.