Pretty little white milk glass, miniature oil/kerosene lamp with a clear chimney. Sorry I don't know age or maker.

It roughly measures 4 1/2" tall, without the chimney, 9" tall with the chimney and 2 7/8" in diameter at the base.

One tiny nick as you can see in picture #3. I do believe it was painted at one time if you look closely at the pictures.