Either a bud vase or an urn, I am guessing if it is an urn it would be for a pet or a child. I hope it is a bud vase though, a child's urn is a little spooky. Urns seem more jar shaped, and your piece is shaped like a vase.
Here is what an antique urn would look like. I attempted to look for one like your item, so not all look like that. As you can see they are very jar-like.
The one on the bottom is a Victorian one for a child.
I am leaning towards a bud vase though, I am guessing it is heavy to prevent being knocked over. It has a very Victorian feel to it, probably 1880's or 1880's. It may be more recent, trying to following Victorian style.
Here's a bud vase from the 1800's. It looks very similar.
A size would help, because if it was an urn, as you were speculating, it would be quite large. Probably quite a bit larger than a bud vase.