For $6 I ordered a handful of LED + pigtails in a soft white color. They arrived the other day - and having only found a possible whole light assembly on Ebay for 50$ ++ (each

, I thought I would give these a try.
Picture below shows the original LED sitting upside-down in the parabolic mirror, with the leads extending out to the side of the mirror, then through the mirror to the wiring behind it.

So I cut out the leads holding the original LED

Then I drilled a hole in the parabolic mirror to friction fit the ribber stopper which holds the new LED + pigtail.

Feed the wiring through the stopper

Test the bulb with 9V battery

Everything seems fine

The LED now sits at the base of the parabolic mirror, is held snugly with the rubber stopper. I took it out to the boat to double check if the wiring was reversed - and voila

it worked. My stairwell is now well lit - no excuse for stumbling down the stairs at night. I have one similar light to do on the swim platform (one of three), and this LED has adequate brightness for that purpose.