If you have the original tester socket, there are two of the contacts on it associated with this circuit. Open another tab and open this electrical diagram:
http://www.e9-driven.com/Wiring_Diagram.pdf
I realize that it's an e9 wiring diagram, but the circuits are basically the same, a 12v source, a bulb, a test socket, etc.
Near the top the first page is the alternator, and attached to the alternator is a blue wire. If you follow this blue wire down the page, you will see it connected to a small triangle with the number 8 in it. This represents the connection to pin 8 of the tester socket. ( You can see the tester socket about halfway down the page, a box with 9 numbered dots. ) Follow the blue wire across the page to the right, it exits the page between a brown-green and a black wire.
Scroll down to the next page and pick up your blue wire on the left side of the page. It goes thru a connector ( represented by the box ) and into your instrument panel. Follow it to the right and up to the circle of bulbs labeled instrument light, and your alternator light is the top right bulb.
The hot side of the bulb is a green wire. Follow this wire down and to the left, back thru the connector, then down to a junction near the dimmer switch. Follow the green wire from the junction back up the page and to the left, where it exits between a green-white and another green wire.
Scroll up to the first page and pick up the green wire on the right side and follow it to a fuse with a plethora of other green wires on it. Also attached to this fuse is a triangle with the number 2 in it, representing pin 2 of the tester socket.
If I was troubleshooting this circuit with your circumstances, i.e. the alternator light doesn't light with the key on and the engine stopped, I would first disconnect the blue wire from the alternator to get the alternator out of the circuit. I would then turn the key on and put my voltmeter on pin 2 of the tester socket looking for 12v. If I have it there, indicating I have power to the circuit, I would move to pin 8, again looking for 12v. With the blue wire open, I should read 12v on pin 8, indicating a complete circuit through the instrument panel.
If 12v is present on pin 8, grounding pin 8 should light the alternator light. If 12v isn't present on pin 8, the two most likely suspects are the connector on the instrument panel or the bulb socket, so I would move to that area and use a sharp probe to pierce the insulation on the associated wires on either side of the connector to measure the voltage.
Keep in mind that your symptoms can disappear at any time by slightly moving a connector or wire and completing the previously faulty circuit.