Please check out Noha’s review on KinderBach, which teaches piano:
http://forum.brillkids.com/product-discussions-and-reviews/kinderbach-review!/
This is pretty cool and worth looking into.
Also, on a similar note, Suzuki has an early childhood education program (ECE). This is not an online program, but one of the most celebrated methods worldwide. The following link is to locate a teacher in your area, just look for a teacher offering the ‘ECE’ program: http://suzukiassociation.org/parents/teacherloc/
My daughter is 11 months and starting in 2 weeks 
Actually, on that note, Yamaha is also well-known for running piano-based music lessons too. Suzuki is most known for violin (though they do do other instruments), and Yamaha for the piano.