Hi,
That looks a good bit like what's often called an oil candle, used to burn scented oil.
These are some of the less expensive things made by many studio artists to supplement their income while they wait for someone to buy their more expensive items. Depending on who made it there would be a glass, plastic or metal bead that adjusts and holds the wick up to keep it from falling in. There are many oil candles, by different makers listed on ebay all of the time, in the Pottery & Glass category. --- Mike