When trying to doctor my '56 T-bird's kickdown linkage, I found that part of the adjustment procedure was in the Ford-O-Matic manual - and part was in the manual for the bird - so be sure to try and locate the necessary books for your outfit. The transmission book had more info in it than the car manual.....
It starts off with being sure that the accelerator pedal is far enough off the floor to provide sufficient travel to the mechanism. You must first have sufficient travel to provide "wide open throttle" (WOT) (its about halfway to the floor) - then the linkage must travel further into a spring loaded slot where the transmission rod begins to travel downward, operating a valve on the transmission. The principle problem I discovered, was that the new carburetor (a Demon) had a much stronger return spring than the original carb - and all of the "spring balance" built into the unit ....... was therefore upset.
Steve Metzger Tucson, Arizona