Loie Fuller was one of the founders of Serpentine Dance. Here is an article about her.
http://en.wikipedia.org/wiki/Loie_Fuller
It's interesting to notice how background music affects the dance. Originally silent films did not have a soundscore of course, however in each theatre there might be different music played by piano.
PS: let us know if you know for sure who is in the video (as comments say, it might be other dancers imitating Loie).