I have a 1925, predecessor to your machine but most things are very similar.
I went through this two weekends ago, it was funny what you said last, as I had my son up there rocking the pedal for me as well.
To grease the rocker, on mine, I was able to just push my straight grease gun with a solid straight coupler up through the linkages, and then get locked onto the zerk. That was not my problem though.
Will your's actually stick in place? That was helpful to me diagnosing mine.
I finally got playing with mine, and realized that the pedal would wiggle a bit, ie, had a bit of freeplay, even when the control itself was "stuck" and you had to bump the pedal a bit to release it.
There are several little joints along there and I sat and looked and finally ended up taking that black cowl off that is under the dash.
On mine, it then became clear that there is a cross shaft that the linkage hooks too that runs through a pipe that is mounted to the top of the transmission. The pedal linkage, dampers etc hook on the right side, and the left side of mine was blank, I suspect that is the attaching point for a cruise control.
Anyway, I had to drive out the roll pin that retains that shaft, and drive out that shaft, carefull, there is a bearing washer in there between the "pipe" and the arm for the pedal linkage.
Corrosion had built up over the winter on that shaft and it was sticking in place.
I cleaned it good with crocus cloth, then cleaned out the "pipe" with cleaners and the shaft itself, when I was satisfied that everything was clean I filled it all with moly grease so it slopped out everywhere and reinstalled it.
Wiped everything clean and finished re-assembly.
Worked well for me.
Good luck.