if you have a flatbed scanner you can use that to blow up the sigs - works better than the best camera as long as the scribble is on a flat surface.
The signatures do not necessarily come from a glass manufacturer - especially Kosta supplied lots of blanks for individual engravers. I agree they would be Swedish. I have an identical piece (the small one) somewhere, which is Orrefors (Of#xxxx); the larger one could be Johansfors or Kosta...