Nice to see something which I can say I also have.
In fact I still have four A H vases of this type, two of which are identical to the one queried here, the others smaller and more bulbous. A friend took a liking to several that I had picked up so in a rare moment I actually sold some off my shelves.
I have had these for over 15 years, at a time when they were found regularly in fairs etc., in the UK. They seemed to be everywhere! I see that some of these currenttly on eBay are listed (by American sellers) as "Vintage". I was told they were probably 1920s. Or maybe 1940s. Anybody have any views on that?