The Easter Bunny IS NOT a Cottontail....
Since the EASTER BUNNY is first seen in Pagan Religions that pre-date what most people think of as Easter and since those Religions were European and since the "Rabbit" in Europe is the BROWN Rabbit, (a completely different species than ouor Cottontail), there is no way that the "original" Easter Bunny could have been a Cottontail.
Well before the birth of Jesus and the traditional "Easter" came to be pagan religions celebrated "Eostre" and it is from this tradition that "Easter" actually originates and not from the Christian Religion.
The Old Goddess of Spring was "Eostre" and her sacred companion was the "Easter Hare". As you can imagine back in the days when Stonehenge was being assembled a Rabbit was a Hare was a Bunny was dinner, and no distinction was made between them as seperate species. Both the Hare and the Rabbit were the most fertile animals known and they served as symbols of "new life" during the Spring season. Parents of those times told their children that the magic hare would bring them presents at the "Spring Festival" which corresponded wit the Equinox which is, of course, the very foundation of the Resurrection of Christ. No huge stretch of the imagination that the two occur at the same time given the message they are meant to present.
The Easter HARE became the Easter BUNNY for the first time in 16th Century Germany and it was the German Dutch that introduced the "EASTER BUNNY" tot he America's when they arrived in the Pennsylvania Dutch country in the 1700's.
So there we go....we started with a Hare, took it to a Rabbit, changed that to a Bunny, and then Americanized it by naming him "Peter Cottontail"....
Steve