Be very careful...
With the shaft seal on that motor.
Here's what to do. If you have gotten the wash impeller off, and the pin that holds the top of the seal out, then carefully remove the top of the seal which could be a ceramic or metal part. They cannot be had from anyone or anywhere. At least without trying to match it up at a really good seal supplier.
The lower half can remain in place in the metal pump housing because the motor shaft will slide right out of it when you take the motor apart.
I assume that you have removed the machine and if not, please do so as this will make it easier to remove the motor. What is holding it in place are the cork gaskets that seal that top tank ring and the lower splash shield to the tank and motor. Once the machine is out. turn the machine upside down and spray some PB Blaster, nothing else...not WD-40 or other penetrating oil. Use the PB Blaster and soak the area around the gasket. Let it seep in and then spray some more. This should soak into the gaskets and help loosen them up.
If you get really lucky, you may be able to jostle the motor loose from the tank. Otherwise, you will have to pry it away from the tank. Go gently and try as best you can to save the metal shields for reuse. You will probably have to make replacement gaskets yourself. I don't know if anyone on the forum has new parts that they can get to you.
Once you have the motor out, you can separate the motor by removing the screws on the bottom and the motor will split into 3 parts. If you have a drain pump mounted on the bottom of the motor, take out the screws holding it to the bottom of the motor and DO NOT separate it from the drain valve. You will likely break the tank like device that attaches to the drain valve.
Those 4 screws that hold the motor together will probably hard to get out so be patient and keep your fingers crossed. I would suggest using a hand held impact driver to shock the screws into turning and work them out slowly if you can. You don't want to break them. When you reassemble the motor, put some anti-sieze on the threads to make it easier to remove them in the future.
If you didn't try to start the machine a lot, hopefully the start windings are not burned badly and you can still get some life out of the motor. If worse comes to worst, you may have to have the motor rewound. Go to a really good motor shop. A good shop worth its salt can rewind any motor. Anyone who blows you off probably does not do good work.
The bearings are standard bearings, permanently lubricated(though at 59 yrs old, the grease probably dried up.) Replace them with sealed bearings, not open faced ones.
If all goes well, you will have a motor ready to last another 60 years. Reinstall the motor into the tank which now, you may want to do with the machine right side up but it is still a bear to do.
A hint to make it easier.. Take one of the motor mounting bolts to Ace Hardware or Home Depot and get a piece of "all-thread" to match the mounting bolt. Cut 3 or 4 pieces maybe 3 or 4 inches long and when you are ready to lift the motor into place, you can thread the all thread into the top of the motor these pilot screws will help you to pull the motor into place and secure it. Install the other screws and then remove the pilot screws and replace them with the correct screws. This will also keep the gaskets and lower shield in place while you are raising the motor. Reinstall the shaft seal and everything else. Water test it and make sure you don't have leaks and you should be good to go.
Just for the record, the part number for the seal is 00-077107 so maybe an internet search will help you. Ideally, you would want to replace it. If you should find one, have the motor shop install the lower part that goes into the top housing before returning it to the machine.
See, how easy that was! Oh man I replaced and rebuilt so many of those motor wghen I was so much younger.