should be the same temperature as your thermostat rating...generally around 190 to 195 degrees.
Replace the engine coolant temperature sensor. Your car has two, replace the one with the 2 wire connector
In a car with a properly working cooling system, the coolant temp should be around the same whether the car is idling or running. There should be little variation. The car should warm up to that temperature quickly after a cold start.The temp would depend on your car make and sometimes engine size and characteristics. In general, however, it should be a little lower than boiling. For example, the normal operating coolant temp on a jeep grand Cherokee is 210 degrees Fahrenheit.
Pressurised coolant boils at a higher temperature than unpressurised
In short no. Your cars cooling system is a sealed unit therefore it should not use any coolant whatsoever no matter the ambient temperature.
"Engine coolant temperature" sensor
The 1995 Lincoln Town Car coolant temperature gauge sensor can be found on the front of the engine. The coolant temperature sensor will be a few inches above the thermostat housing.
When your car is at idle there is no air flow to cool the radiator, but when your car moves the air flow through the radiator cools it down. I would suspect the radiator fan is not coming on when it should. If the fan is working properly the engine temperature should stay fairly constant assuming the thermostat is also working properly.
If it's cold outside, it's because ECU use ambient temperature sensor and coolant sensor to manage RPMs. After you start the car the coolant temperature is low and ECU sets RPMs very high, when it gets warm RPMs drop down until engine reaches operating temperature.
Stuck open thermostat.
You engine is generating more heat than can be removed by the cooling system. You should pull over, shut your engine and carefully (it will be very hot) remove the radiator cap to check the coolant level in your car. If you know where it is, you can check the coolant reservoir. If you are missing coolant, add enough to bring it to the correct level and monitor it for leaks. Otherwise you may have a problem with the cooling pump.
The Coolant Temperature sensor is defective.
One way is to let the car idle with the reservoir cap off, called "burping" should get rid of most air pockets in the engine.