My '60 hardtop has 6 buttons on each side panel and 8 buttons on each back panel for a total of 28.
Not sure if it came this way or just how my Dad always did it but the jack in my car was always behind the tire at the top of the spare tire area. The jacking mechanism was moved to the center under the tire. Keeps the jack from rattling. X2 with Jon on the square base in the center of the spare wheel.
Those back tires are almost impossible to get out from under the fender without using the original jack (in a flat tire situation - not in the garage). You just about have to carry a floor jack with you....