Sounds like you need to go thru the whole brake system.A 59 should have self adjusters on it,maybe they are not functioning properly or they are not hooked up.As far as bleeding your brakes start at the wheel farthest from the master cyl.RR first,.RL second, RF third and LF last.Usually if they need bled you will have a low pedal,and you have to pump them.Get this fixed pronto,its dangerous driving with bad brakes.If you have problems take it to a pro.