That one looks quite a lot wider and more suitable for celery...
Hello Bernard - also meant to add that since you are aware of the S. & F. image, and thus the catalogue from which it comes, you will no doubt have some idea of the date of manufacture of your piece - give or take a little.
I notice that I have pencilled onto the publishing date page of my copy that this catalogue was published in the quite early 1880's - so this should suggest that your piece was already in manufacture by then, and may have been around since the early to mid 1870's.
I hope these suggestions are of help. :)
I hope you are not suggesting I invent a name for this mounted style of vase.What's wrong with mounted vase...particularly as you don't know what your was marketed as.