Pygmalion and Galatea, Gerome, c1890.
The “statue fetish” or agalamatophilia, dates back to at least the story of Pygmalion from ancient Greece. In fact, lots of the many Greek transformation stories (Syrinx, Medua, etc.) have similar themes.
Agalamatophilia is sort of a catch-all for a number of fetishes that might have pretty different valences. Pygmalion thinks his statue is hot, and wants it to be a real woman. Medusa turns people into stone statues, which has a strong appeal to bondage and objectification kinks, as well as hard-media fetishes.