Estate cleanout find finger lamp , purple haze to clear glass . Not sure of the age of this collectible 
However it is believed to be late 1800’s there are some bubbles in the glass 
Not at all familiar with the actual workings of the burner so I cannot comment on condition Queen Anne with portion of original wick. 
I will try to answer your questions. 
Approximately 6 inches in diameter .. some of the photos show the purple “ HAZE” coloring in the glass
Please take note of the rare shape of the finger handle