Old Bathroom wiring(1set) to GFCI/Outlet combo? I have an older house where on earth the bathroom had one...

I have an older house where on earth the bathroom had one switch that controlled an overhead light. The wall have only one Positive and One negative(no ground.) I bought a GFCI switch/outlet combo, where the switch part of the pack had wires integrated into the unit itself. I assumed that this be for my type of wiring, the integrated wires go surrounded by one set of holes in the back the wall wires the other. When installed, the switch worked, but not the outlet.. Should this own worked? Is it just possible that the outlet is defective.
I've uninstalled the outlet and the reset / test button does nought.

Thanks to anyone that can help,
RG
Gas furnace does not produce warmth blows cold...
Answers:    Old systems did not have a green or showing exposed wire protruding from the box, but there be a common ground wire attached to the metal box. Your GFCI (Ground Fault Circuit Interrupter will not work if it cannot detect a ground guiltiness. You must attach the ground wire to the box.
Wire it up again with the part grounded and test again.
Depending on the source of power, the outlet may work only when the switch is on. If the power comes into the ceiling muted fixture, the lines comming into the switch box are breaking one leg only, which should be the hot (black) wire. The white lead in this case is a continuation of the black chain back to the light fixture.