Gonna go out on a limb here, so forgive me if I am barking up the wrong tree...
You didn't say when only one wheel spins, so I assume it's doing so with the rear wheels blocked up off the ground, or in a poor traction situation. That said, IF the rear wheels are indeed off the ground, it is not unusual. The C81 didn't have the limited slip differential, so in an instance where wheel slip is allowed, only one wheel will spin. This is especially true if the wheels are off the ground.
If they are blocked up off of the ground, you should be able to stop the wheel that is turning (being very careful not to do anything that will injure yourself, or knock the tractor down off the blocks), and the other wheel should begin to spin instead.
Again, be very careful. Use a wood block against the side of the tire, or something similar. DO NOT grab the spinning wheel with your hand. The inertia of the spinning tire is certainly enough to pull your arm under the fender, etc... It is a good idea to do this with the tranny in the lowest gear, so the wheels will spin more slowly.
Good luck,
Kevin