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I don't think so, but you could test. I've read that C1s don't charge at idle. What does your ammeter do at idle? At idle is where you'll want the electric fans. Put a multimeter on the battery set to amps, and see what you have available. Then subtract the 14. I don't think you have enough.
The generator in your '59 is rated for 30 amps output. However Chris is correct in stating that the generator is not putting out at idle (kind of like one of my old girlfriends).
Above idle it will sustain your fans but I seriously doubt it will generate enough energy to run the fans, headlights/high beams, all the other electrical loads and continue to sufficiently charge the battery.
I know C1's can be difficult to keep cool, I would try all the usual remedies first.
Unless you decide to go with a 60 amp single wire alternator, then just be careful how you wire the fan circuit.
I ran one 14" fan on my 62 for a couple of years and had no problems with the generator at idle. Don't know how many amps it was rated for. Now, the other side of the coin, my engine is set to idle at about 950, and I have a 3" pulley on the generator. This make the generator turn faster than normal at idle. This would be a problem if you have a gen driven tach, but otherwise it works well. If you run the engine at high RPM frequently, you might wear the generator prematurely.
Something not mentioned yet is too high of a current draw when the generator is charging at max will overheat the armiture and 'throw' solder. It usually happens at night when you turn on the lights. Not exactly the best time to lose a generator.