Is this really Grete Jalk?  

Welp, never mind. Found an example that is marked. Thanks anyway.

I will also add that I believe this design was drawn "in-house" by Grete Jalk for P. Jeppesen. I say this because you can find this tea cart marked as designed by Grete Jalk, but also the vast majority of the vintage documentation says it was designed by Poul Jeppesen.
The only way I see to reconcile these two facts is that Grete did not own the copyright to this design which she drew, or in other words, it was an "in-house" design, to which P. Jeppesen owned the copyright. And at some point in the design's life PJ decided it was in there advantage to advertise Grete Jalk, but for more of its life, they decided to advertise P. Jeppesen as the designer.
And this would be fully in accordance with this phenomenon at other companies in the Danish furniture industry of the era. In fact, I am inferring this as a reconstruction from what happened with various designs at other companies.

That seems very likely, leif. For example, mine does not have these stickers or emblems... simple Danish Control and the Jeppesen logo burns. Which would make it an earlier production, in theory?

I am actually not sure. The strangest, and also best documented of these sorts of "in-house" designs that start out credited to a known designer and end up credited to the company/company owner is probably Møller model 71. It started out with a design credit to Arne Hovmand Olsen in the early 50s. By the very early 60s it was credited to Arne Hovmand Olsen & N.O. Møller together. And then shortly thereafter, it was credited solely to N.O. Møller, and has maintained the Møller credit ever since.

Well I thought I took a picture of the mark, but I'll have to do that tomorrow. Anyway, here's how it turned out. Thanks for the input.