Thanks, folks, for your suggestions. This evening I looked at the wiring harness on the Aux fan, and it looks as though it goes under the engine compartment under the windshield washing fluid cannister, but I don't know where the connector is to disconnect it from the rest of the circuit, in order to just connect the fan straight to the battery to isolate whether or not the fan is bad or perhaps the fan relay is bad.
Any suggestions?

Thanks so much in advance!