Magnets won't work. The cover is aluminum.
I have a headlamp that I have used when crawling into dark places on my boat and at other times. The problem that I have found with led headlamps is that the light beam is very directional and has to be pointed directly at what you want illuminated.
The lathe has to stay where it is. My garage is not large and like every garage is filled with stuff. My metal working stuff is in the back left corner of my garage and the woodworking stuff is in the right front corner All of the rest of the wall space has either has builtin shelving or work benches. My MG Midget, currently under going a resurrection, and it's stuff takes up most of the floor space. And even the back left corner has issues. The builder of the home for some unknown dumb reason brought the waterline for the house up through the garage floor roughly 2' from the side wall and 4' from the back wall. The lathe barely has room to fit between this pipe and a side door and my mill/drill barely fits along the back wall between the pipe and the door to the house.
I like the idea of the articulated light because it would be easy to move around to where it is needed. But I wonder if it would be long enough. It is 3 1/2' to 4' from the back right corner of the lathe to the chuck area where the light is needed the most.
I will try placing a piece of plywood to cover the bottom half of the window and see if that helps. I will also try mounting the light that came with the lathe on the left front corner of the bench and see how that works out.
I appreciate everyone's suggestions. Thanks