Round removable rosewood tray sidetable  

The legs appear to be stained beech. (That does not help very much).

thanks for the comment on material....after some additional research, I'm wondering if the base is original. I found a similar tray side table in the archives of massmoderndesign.com but unfortunately they could not identify the designer. The base in their photos make more sense as it appears to be rosewood.
Per their website:
"Nicely made small side table in rosewood, made in Denmark 1960. This was sold by Hoogezand furniture in Utrecht who imported a lot of important Danish furniture from the 1950s to the 1980s. The sold important furniture by Grete Jalk, Ole Wanscher, Poul Kjaerholm and Finn Juhl. This table was made by a good designer but we don't know which one. Its made of solid rosewood and has a very nice connected base. Table is in good original condition and marked with the metal Hoogezand tag underneath."

If the trays are the same, then your based is not original. Does that site have measurements? That would be my first stop if I were trying to figure out if it is the same tray.
This other one is certainly a lot more finely made, to say nothing of materials. But it is also not so simple to get beech to take a stain well, so if somebody made yours, it was somebody who did not have a photo of the original to go by, and somebody who knew how to stain wood pretty well. Not impossible, but not so likely either.

now I'm really wondering which is which....found another reference on line from an old esty post with the base as shown in the first set of images. It read
Mid Century Danish Modern Torsten Johansson Rosewood Tray Side Table by AB Formtra in Sweden.....need to do some more research on this piece.

I think the attribution must be legit- found another table with similar base on 1stdibs
https://www.1stdibs.com/furniture/tables/side-tables/torsten-johansson-s...
The sticker on the bottom matches the one on our tray.

I found this Torsten Johansson table in a mid-60s Danish magazine. Is seems there are some small differences in the base.

Beech takes dye really well. That's all I have to add.

Thanks for all the feedback-
designisalltome- can you tell me the magazine issue?

Mobilia, I can't remember exactly which one, but it's from 1973/74.

Was there any accompanying information (i.e.mention of wood species to validate the use of beech for the table base)? Thanks again.