People often dismiss these style of weights as 'Chinese' :roll: but I think they could be Bohemian or possibly Indian. There is a big glass industry in Firozabad in Uttar Pradesh, and I have seen 'Ice Pick' flower weights like yours attributed to them.
Where did you buy the andirons? Are they old? Could you post a picture of the whole thing, as the style might give us a further clue
Leni