The Fostoria Glass Company was founded in 1887 in Fostoria, Ohio. They closed their doors almost 100 years later while located in Moundsville, West Virginia. Fostoria made several lamps and candle holders including full-size and miniature lamps, saucer candles, and finger candles. I am aware of only one fairy lamp that Fostoria actually called fairy and that is the Victoria pattern number 183, which Fostoria patented around 1888. It was called a Fairy Light and not fairy lamp.
After the turn of the century, approximately 1909, Fostoria produced several lines of short candlesticks to which they added a chimney and a lamp base and called them Candle Lamps. These are closely associated with and are often confused Clarke's Cricklites.