Well if you "jumped it" you must have operated the lever by hand under the hood?? Yes? No?

Otherwise If you "jumped it" you don't have what we think you have. You would have to take off the starter switch mounted onto the top of the starter, hold jumper cable to copper lug and operate the pinion lever and keep the side terminal wire on the coil. Maybe you are enought of an electrician to do that. But post some pics of what the "button" pushes on.
Good clear pics of everything.
1. Button on floor is sticking?
2. Button on the switch on top of starter is sticking?
3. The foot switch is electrically activating an electric solenoid?

:nopics: <<<<<<<<< the post is not worthless, just an emoji in our emoji list to ask for pics.


Right is right, even if everyone is against it, and wrong is wrong, even if everyone is for it. - William Penn