Anthony
On reflection ...
As this motor was oil-immersed, I doubt if it ever had a start switch. Electrical oil is a very good insulator, it would inevitably get between any start switch contacts, and never start.
Could be a capacitor start/run motor. Fluids take some power to pump, so it adds up there too.
Looking at the pics. it
MAY be that the configuration you have is like this:

In which case you can
Remove the capacitor first, and
Meter, on a low resistance range, between yellow and white. I guess you should get from about 50 to 200 ohms. Typical, not absolute, varies!
This checks the start winding.
Meter between red and white, once more a similar value. They will almost certainly be different.
This checks the run winding.
If one or more of these is a very high resistance, above 1000 ohms or so, that winding is probably done for.
It is quite normal not to see all the connections. They are often done at the end of the windings, then sleeved and buried. Just to make life easy.
Also meter between red and green, must be well above 1Mohms. Ditto white and green.
This does assume that the diag. is OK
It's non-destructive, worth a try, and posting the results.
Bit of practice with your meter ..

Dave BC