I did, however, play the alto recorder from the age of 12 or so. I still have it, in matter of fact, a very superior Moeck, which could have followed me on a future career which never materialised.
I taught recorder for several years and I do think it transfers well to piano... most of my students transitioned nicely to piano after a couple years of recorder (a few of them went to violin, too, and did well).
How interesting that you have a Moeck! I do too - a ebony Rottenburgh with ivory rings from the 80's. Indeed, those are such musical and beautiful instruments.
I hope your little girl is indeed very musical. My singer grandmother said that you can often measure a child's ear and musicality by how much he or she sings and how on-pitch they are. The two best pianists out of my family were the ones that could hit pitches accurately when they were very young. I don't know if that pans out all the time, but the tidbit is interesting...