I have a 92 ford escort gt 1.8 & when it gets to operating temp the check engine light comes on then the engine shuts down, then once it has cooled down will start but shuts down once it has warmed up again
Engine shuts down on 1992 Ford Escort
Do you have any Check Engine or Service Engine Soon Lights coming on? If so, they could really help. It sounds like you may have a temp sensor issue that heats up and for some reason, shuts off the vehicle.
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I agree with dandd answer. "AUTO ZONE', at least in my area, will do an electronic engine check FREE of charge and will also help you with diagnostics.