Voltage at the coil is a good thing. The wire terminals on the coil may need some work - does the lower one have two wires connected to it or does it just look like that in the pictures?
The wire from the distributor to the coil may have an internal break that only causes a problem while the engine is running. Try removing the distributor cap and check the voltage at the points while wiggling the wire and moving the vacuum advance. (this happened to me - I used a wire that was too stiff and the movement of the vacuum advance fatigued the wire until it broke)