You probebly have a leaking headgasket. Exhoust gasses ecape in your cooling system and couse a high presure.
if the hoses are hard im pretty shure that's your problem.
if you loosen the cap on the reservoire all the little compressed gas bubbles in your system expant cousing the reservoire to run over.
if you also have white smoke or a bad running motor in the morning after starting for like 30 sec im 99% sure it is a leaking headgasket
The gauge should be showing a minimum 195 with engine warmed up. I would start with replacing the thermostat.
Could be a failed engine coolant temperature sensor. Easy enough to replace and not too expensive.
Low Coolant or faulty gauge
Have you had the coolant temp sensor checked? It might be that the engine is running hot but the sensor isn't showing the temp is hot.
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.
Your engine coolant temperature gauge has a sensor ( there is also a engine coolant temperature sensor that is used for the computer / PCM )
Bad gauge or defective coolant temperature sensor
engine coolant
These will be the coolant temperature gauge, oil pressure gauge, and battery voltage gauge.
Bad gauge and/or coolant temp sensor The coolant temp sensor doesn't control the gauge. There is a sensor in the head on the driver's side that controls the gauge. It is fairly easy to get to, probably one of the only things on a 4th gen. lol
Temperature.
20AWG is the norm.