Could be John Field. Or maybe someone like Donizetii or Bellini, if they wrote any piano pieces (not sure).
Rachmaninov? Or maybe Bortkiewicz? Or how about Ravel, or Faure? Whatever it is, there sure are a lot of tiny notes, but I bet it's a pretty piece!
Drum roll, rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr It is Czerny Op. 335 (School of Legato and Staccato), No. 48. Surprising isn't it.