PanJH has the proper answer, sort of.
Take the handle off, if there are wires, then it is supposed to be lighted.
If there are wires, There will be a connector or two (hopefully 2) if so attach some type of retainer (String or clip) to the wires coach side of the connector(s) and disconnect, Take that end to the table and remove from handle, In the end you will see either an LED in a reflector or a common light bulb in a reflector.
You may push the assembly out of the handle end and re-assemble handle to rig (Leave string hanging) till you get parts.
If light bulb, get replacement
If LED, On my coach and on a friends the LED burned out, I know, they are supposed to last a long time.. On mine the replacement also burned out... SO I went on a snipe hunt.
Found the series resistor was 150 ohms,, Ok, might be good with 5 volt USB power but no good at all with 14 volt RV power (I rounded to 14) Did the math and for the LED replacement I purchased (A Radio Shack JUMBO High Brighteness) the proper ressistor was closer to 450 Ohms.
Got a new resistor too
Replaced the LED and Resistor, Drilled out the hole in the reflector and re-assembled.. Now here is where things get fun.
IF, there are 2 identical connectors, Solder LED in place, hook it up and test it, if no light, reverse connections and test again, LIGHT = Success. Finish assembly and job done.
IF a polarized connector. DO NOT SOLDER LED in, Just bend the leads a bit so they make contact, Hook up, and test, LIGHT = Solder and trim leads and re-assemble,, NO light = Turn LED around and try again.
Home is where I park it!