As promised, here's the response I got from the Curator of the Ostergotlands Museum in Sweden:
'I have got your mail about your bottle with engravings.
I have not seen anything like your bottle made by Reijmyre Glasbruk.
It´s rather difficult to have an oppinion about your bottle. I think it´s from the 20th century,
but I can´t tell you if it´s made in Sweden or elsewhere.'
So, there we go. Not really sure where that leaves us really...