Rex: I have NO experience with 59 Imperial brakes so I'm talking over my head on this one. Does the 59 have the dual cylinders on the front like the 55/56 Imperials? Did you remove the cylinders from the backing plate? If so, the bolt which holds the cyl to the backing plate is ALSO the excentric bolt which adjusts the "Heel &Toe" of the brake shoe. If your Imperial does NOT have the dual front cylinders, disregard & delete this post. That's All Folks Jim 1939 Imperial Limo C24