>I'm not sure about the usage of "salt cellar". I think a couple of you are confusing them with salt shakers.

Cambridge Dictionary:
A salt cellar (Am and Aus also saltshaker) is a small container for salt, usually with one hole in the top.
http://www.cup.cam.ac.uk

I suspect that it is just a matter of local usage, my family certainly used salt cellar for the thing with a hole in the top. Although, when I googled "salt cellar" and all the references that came up, even on UK sites, were to the kind of things that sit on a table and hold salt, you can either use your hands to get a "pinch" of salt for your food or use a tiny salt spoon. Even the British Museum site mentions salt shakers as different to salt cellars. From the items offered for sale I suspect that we are moving towards salt shaker gaining more universal usage.