I watched this old movie about a decade ago (early 2000), but have so far been unable to find it via Google or the IMDB.
By old, I mean it seemed like something from the 1940s or 1950s. I am not sure anymore, if it was black & white. I am sure, though, that it was not a silent movie.
The plot involved a woman, who is a dancer, her father, who is some kind of artificer/tinkerer, and the (possibly to be) husband of the woman.
The father crafted a machine/robot in the likeness of his daughter (played by the same actress as the daughter), which was able to perform a dance. I think this was for some important event to showcase his prowess or something in that vein. The woman or possibly her husband accidentally damaged the machine, so it could no longer perform its dance. They do not tell the father for whatever reason. On the day of the event, the daughter masquerades as the robot and performs the dance in its stead.
Aside from these few plot-scraps, I remember that there were three different dance-styles: the living daughter, the machine daughter and especially the living daughter masquerading as the machine, all very well done by the actress.