I misread the part about you testing the voltage with a light to the coil. I thought you meant at the solenoid. My mistake.
Regardless, the lack of voltage at the coil (normal or not) has nothing to do with the starter not making noise. You can leave the coil completely out of it at this point as it has nothing to do with step ONE which is the starter turning over. Votlage to the coil is Step #2 and comes after the motor turns over.
So if your Motor and Starter is well grounded, has a good 12 volts to the starter via the battery cable and is still NOT clicking over and making noise, you need to find out why the starter is not engaging. Either a starter/solenoid issue or the wire coming from the ignition is not applying enough power.
When you say slight noise... Is this like a solenoid click and nothing else?
If you can, try jumping the Big battery terminal on the started to the "s" terminal and see if it turns over.