I have on shower in my house with a tile ceiling and it has held up very well over the years. I added a "lip" at the edge for a nice finished look.....

It looks like your ceiling in the shower has been lowered below the actual ceiling height. In instances like these, I tend to recommend taking the added precaution of tiling the ceiling.

My ceiling is an optical illusion because it is the same height as the rest of the bathroom, but I added a "bullnose edge" or "lip" to define the space between the spaces..........

Is there proper ventilation in the room? Does the glass stop short of the ceiling, or did somebody run it to the ceiling, steam-shower-style?

Surely tile would help, but you might just end up with a different kind of problem if the real issue is that nothing in the room ever dries.

Well, clearly haunted then. %^)

Yes, tile away. It could be that you get temperature differences (open window, cough cough) that are making steam condense on the ceiling in particular. Anyway, a nice tile can handle it. Try to do something that coordinates with the tile you have (if no exact match available) or that blends into the paint color of the ceiling.

Good that as much moisture is released as possible, window and otherwise... 'good husband' tell him.

Yes, if you're having moisture issues, tiling the ceiling would help, along with an exhaust fan.

I would tile the ceiling of the shower since it looks like you have a low ceiling and you are having problems with paint peeling. You can always shop for a complimentary tile to the tile you already have in the shower. With grayish black tile, you could try to find a light gray that would look good or just go with white!