Google applejack the results will be an alcoholic beverage and nothing but that, but scroll on over to the images button click it and your screen will explode with orange as our wonderful southern pony pops up at every corner of the screen.
Hasbro named the pony applejack, well … because she is an apple farmer, Im pretty sure it has nothing to do with applejack the beverage, although they do have her cider as a reference to beer, it does arouse suspicion, hasbro does get carried away with references sometimes.
As far as "appleteeny" goes, yes I'm sure thats a reference