What hardware has been replaced? Is it brass? is the inside painted white?
I wouldn't call it Danish Modern....not really refined enough for that....more MCM stuff.
Linda C

Thank you for asking such pointed questions. I believe the the lamp is aluminum with a brass finish. The inside is tinted with age but I think it is unfinished aluminum.

The socket, cord, and switch were replaced.

Does it hold a magnet?
Thing is....the stuff that dates a lamp have been replaced.
Perhaps we will just have to say "it is what it is"....and let it go at that.

Nope, magnet doesn't stick. Any estimate on date? or what to call it? Chalice lamp? Cup lamp? Just can't seem to narrow down my search results.

Tabletop torchiere?

Might be meant to be put up on top of a tall piece of furniture, or maybe to be attached to the ceiling to shine down? Does it swivel or turn? Can the base be taken apart?

Karin L

At present, that form is called an uplight. Don't know what they called it 50 years past.
Casey

I think it is a variation of the type of lamp that was placed on top of a television set to create some ambient light bounced off the ceiling. All the other room lights would be turned off to avoid reflections on the screen and heighten contrast. --From back in the era of black and white sets

Here is a link that might be useful: TV Lamps.