Accessory position? Or run position? Accessory position would be strange. But if you are not accustomed to old vehicles you may not be stating the key position correctly. Quick lesson, just in case you are calling it wrong.
Full left (counterclockwise) position of the ignition switch is accessory. Key won't come out.
Next step right (clockwise) is off. The key can be removed.
Another position to the right is run.
Last position is spring loaded and the start position.
If you are measuring voltage at the coil in the run position, that is correct. If you are measuring it at the accessory position, that is wrong. Either a bad wired accessory or a bad ignition switch.
Are you running points or electronic ignition? If electronic, which one?
For points, the readings at the coil will depend on where the engine is stopped at. As in if the points are open or closed.
If the points are open there will be near battery voltage at both the coil + and the coil - posts. And all the way to the open side of the contacts inside the distributor.
If the points are closed, there will be reduced battery voltage (ballast resistor working) at the coil + post and nearly nothing on the coil - post. The voltage drop is split between the resistor and the coil windings, thus the coil + post is between the two and will read between battery voltage and nothing.