A saber saw was always a hand held jab saw that you turned the whole saw to cut a shape. A scroll saw was like a saber saw except the front hand knob turned the blade. A jig saw was a table mounted blade saw where the blade was held on both ends and reciprocated. Thus the jigsaw puzzle.
Today I see the names being used both ways.
Around here they call all the inline reciprocating saws Sawzall but the old timers call them a jab saw. Milwaukee is really the only real Sawzall though.
Who knows here we call all soft drinks pop but not far from here they are all coke. As for a pop someplace and they give you a sideways look, so you say ok I’ll have a coke and they say what kind.
When I started my apprenticeship many years ago it was grab the yoyo, hand me a knuckle buster, did you bring the hickey, don’t try and drill that grab the old man. Etc.
Any of you ever drill a hole using a old man? Great tool to have.