Doc here,

imp:
BE SURE your secondary Ignition wire is hooked up and correct.
It runs from the "I" or "R" side of the starter solenoid, to the Coil side (past the ballast) of the coil.
This wire will only have 12 volts in CRANK mode and 0 volts in Run, If it is missing the car will either be a "Hard Start" or not start at all..
IF that is good...
Open the points up, and with a DVOM set to Vx50 or autorange, measure the
COILSide of the ballast resistor.
It SHOULD read the same as the Battery side or ignition wire side of the ballast. Or, if it's 12.63 Volts, at the ignition wire side it should be the same on the Coil side. If not the ballast is bad.
NEXT, CLOSE the points (turn the key off first .. or you'll be cussing me out..) then turn it on, and measure again, It should read 12.63 Volts (or thereabout) on the Ignition side of the ballast, and between 6 to 9 volts on the coil side. If it is lower, test the coil primary.
Disconnect the coil, measure the primary side of the coil. DVOM set to R X 1 , Calibrated to 000, It should read LESS than an ohm, BUT more than 000, If higher or 000, toss the coil, it's bad.
You SHOULD also check the Secondary side, with the DVOM set to Ohms, R X 10K or higher, It should read Between 10,000 and 11,000 ohms, out of that range toss it, it's bad.
If all checks good, Take a Jumper cable and clamp it to the battery ground , and clamp the other end to the engine block and see if that doesn't correct the problem, If it does Install a PROPERLY Bonded central Ground buss system at or near the starter on the block from the battery.
Doc

imp: