61-62 are different
I tried as best I could to fit up a 1961 pedal setup into my 1962, and the result is less than satisfactory. Cecil will confirm that the pedal has a "hitch" in it and is weird to drive. I did get what I believe to be a 1962 setup that I will swap out and see if that improves the pedal travel.
As mentioned, I'd stick with what was stock for that year, in your case 1959-60.
Good luck!
TomK