D'y'know Cats, I had a feeling Japanese too. I Googled as usual and I just couldn't find one the same...that slightly waisted middle was absent on so many vases I saw (all cylindrical) and If I see another pic of a bark vase that is listed as Whitefriars when it ISN'T, I'll, well, I'll take a blood pressure tablet! I did find a squat green one that had the same edge around the rim and that repetitive pattern going down about an inch from the top, but it was listed (on etsy) as a textured bark vase like Whitefriars, from the 60s.
So, I agree, I think Japanese. It is quite thin glass which a lot of Jap stuff was. It is 9 inches tall but only weighs about 400 grams but a nicely made piece all the same. Thank you for your help as always.