Wouldn't the different end dimensions, .... 1 3/4" verses 2", ..... plus the length of 3 1/2" ....... be quite odd for a Napkin Ring?
Now I just can't imagine what they would be used for ..... all by their lonesome self ....... so maybe they are a "
part of" another item.
Like maybe the center "column" or "pedestal" of a two-tiered snack tray, a lamp, etc.
I once bought a whole box full of: 1) 6 or 7 round sculptured green marble "columns" of about 3" diameter and 8" in length with a hole through the middle of each, and 2) some funny looking cast brass "connectors" ....... and paid $3 for the lot. I didn't have a clue what they were and neither did the person I got them from.
I figured n' figured ..... and figured out how they were all "connected" ...... and it turned out to be the up-right column for a very beautiful and expensive floor lamp.
And I was a very "happy camper" when I sold it.