The voltage switch is likely done through an inverter or voltage adapter in your boat. The only way to know for sure is to measure the voltage at the light with a multimeter.
I know it has both 120 and 12 volt wiring. it has both bulb types inside it. http://massachusettsflagger.com/mj/light.jpg
I'm trying to find all I can about it as the 12v side is not working, the 120(shore) side is.
Just a quick thought, on our boat you have to turn on the cabin light switch (its at the helm) before any of the cuddy lights will come on.
and your boat??????
everything is self switched. this light has 2 switches in it. the only marking on the whole light is a lable saying do not use both voltages at the same time