My turn signals stopped working

On my 53 Hornet Sedan, I can no longer hear the relay clicking, and nothing happens when I use the indicators. The car is a good quality original machine and so the wiring has not been butchered upon. I suspect that the flasher has died, and I am not seeing anything under the dash that looks like the barrel flasher relays I've seen before. Where should I be looking and did they use anything weird? The factory wiring diagram does not mention turn signals, which supports the idea that they were a dealer installed option.