Hi - Welcome to the GMB. The stylus inscribed details on the base of your vase looks to read Orrefors - a Swedish manufacturer - though I've not yet checked what the other details might mean - it's possibly to do with the model No. etc. - regret I've no experience of this maker. The shape of this one might possibly be what is called a bone vase. If you look on the screen at some of the entries for Orrefors you should find a lot of information.
Edited to add ................. Not my area, but IMHO this looks to be an example of the Selina Vase ............. "free blown and swung piece, the Selina series was developed from 1948 in association with W.E.S. Turner, the British glass technolgist." I could be wrong, but likely the Opaline version is the rarest, and how many other colours were issued I've no idea. Very nice piece - Granny obviously had good taste.