On a 1960 Ford 144 cubic inch engine, the temperature sensor (often called a sending unit) for the gauge is usually located in the
cylinder head. It's typically screwed into the cylinder head, near the thermostat housing, but not directly in the thermostat housing itself. It's a relatively small sensor with one or two wires attached.
However, without a specific diagram for that exact year and model, it's difficult to give the exact location. You might need to consult a 1960 Ford repair manual or a parts diagram specific to that engine to pinpoint the location precisely.
