If it were by Bergh, then, according to Swedish Glass Factories, the 325 number would mean it was designed in 1932. It doesn't look like a pre WW II design to my eye. The book also says that designs that were still being produced in 1958 were all given the prefix BH. I've seen the simple "B," but not "B-W."
John, does it look a Bergh to you?