Call Bruce Chapman, owner of Mid-West Timer Service.(269)849-2800. You may have to get past his typically OBNOXIOUS old shrew that answers the phone. She thinks she is the boss and likes to "screen" his calls. If you can't get through to him without an explanation, just leave your name and number for him to call you back.
I know Mid-West has moved away from repairing these old timers, but perhaps they will have the parts you need for you to do so, or will know where to find them.
Its worth a try.