Kevin, Yes, a resistor will lower the voltage going to the coil. A 6 volt coil without a resistor will burn the points and overheat itself, cutting short it's own life expectancy. All 6v coils require a resistor, the old ones externally, the newer ones internally. I know you want to get running as soon as possible, and I don't know the degree of originality you prefer, so you can get a modern coil today (likely with an internal resistor: ASK!), and/or send an original coil to Skip Haney in Florida to have it rebuilt. An original Ford coil should have a resistor mounted next to it at the engine mount, not on the dash (firewall) as I epreviously advised. Do not consider an NOS coil to be preferable for anything but to be rebuilt, as they age on the shelf just as they age on the car. The best resistors are the old Ford ballast resistors: Unlike the new ones, the original Ford resistors last forever. Skip will advise on a compatible condenser to use with the coil he rebuilds.
An analog voltmeter would be required for any testing while the engine is running, as the ignition static you would hear in a radio will also affect a digital device. Old Henry will tell you that anything he does with his digital is while the engine is off. You can perform the voltage tests as previously advised, but not with the engine running. The test at the coil will require the engine to turn over to open the points, and to close the points. A full 6v or slightly less should be the reading while points are open, and just under 4v when points are closed. Much less than these readings would indicate resistance in the system that can be traced down to be corrected.
Those who tell you to convert to 12v have themselves given up on the requirements of 6v, those requirements being good heavy wiring with little or no resistance at the connections. They sometimes aren't aware that 6v requires heavier wires and cables than does 12v, and tend to replace cables with new 12v cables, thereby creating their own problems. To each their own, but I'm sure you understand even at this point, that modifications may temporarily mask over old problems, but bring a whole new set of problems of theiir own.