I googled vintage Parker, and then vintage Danish. There are similar in the images for both searches but nothing exact. I'll keep looking.

Though I don't know for certain, I think the cotton/linen shades are removable. I wasn't able to determine this by my searches. This could easily be confirmed by making an enquiry to supplier before purchase. Alternatively, a handmade one could be made removable by making shade slightly larger than frame and making ties.

Mimosa has a similar product. Without knowing the actual furniture manufacturer, mimosa may be a good alternative.

I’m set up in our sunny spare bedroom. Happy with my spot as I have views to the street and a desk to work from.