Assuming you're referencing the 48 Frazer in your bio pic, Frazers were equipped with two fans...one for the heater itself that is controlled by a pull-out knob on the lower dash, and another for the defroster. That one is controlled by a chrome knob at the top of the dash. Each can be operated independently of the other and only run with the key in either the 'accessory' or 'on' positions. Perhaps one of them is what you were hearing.
KF did not use an electrically controlled engine fan. If there's one on your car then it was added later in life. The same would hold true for the fuel pump.