OK, if you get no alternator light that might just be the problem or at least the clue on how to fix it. The alternator light bulb provides resistance and triggers the alternator's voltage regulator to sense load.
On the circuit board the bulb mounts to is a resistor. If the bulb goes out the resistor acts as backup if the bulb burns out. Rarely do both go out.
Does the alternator light come on with the key in the on position? If it does then we can probably look elsewhere.
The wire on the alternator that goes to the bulb/resistor is green/whit stripe if I'm not mistaken.