1992 Toyota Corolla overheating after water pump and thermo

Engine Cooling problem
1992 Toyota Corolla 4 cyl Two Wheel Drive Automatic

I replaced the water pump in the car after a catastrophic failure in which the pulley became crooked and threw a belt. With the new pump installed, it seemed to be doing it's job, but the engine overheated still, causing slight shudder at idle when fully hot and getting int othe red of the gauge. Suspecting the thermostat, I replaced it as well. Still the same. I am mostly unfamiliar with electric fan cooled engines, but it seems that the e-fan should be running overtime under these conditions, and the most I remember seeing out of it is a few short runs of 30 second to a minute while warming up from cold on into the red zone just idling. We are getting signal to the dashboard gauge as to the engine temperature, but as for the fan kicking on, either it must be a separate sensor which has failed, or the fan has failed.