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Head Off was created in 2008.
Off With His Head was created in 1957.
No. The valve springs can remain on the head when removing the head.
No, JFK's head did not fall off. When he was shot, the bullet simply made a hole in his head but this did not cause his head to fall off.
IF YOU ARE CHOPPING THE HEAD OFF OF A PERSON IT'S CALLED A GUILLETINE. IF YOU ARE CHOPPING THE HEAD OFF OF A CHICKEN THEN IT'S CALLED A CLEAVER.