Not a different story, just more long-winded. I simplified it down. Basically, they all started out being called Araucana. Then came the Araucana breed. Then came the Ameraucana breed. The birds that no longer fit either breed, are now called Easter Eggers. But technically, they were all Easter Eggers, when they first came to the U.S.The archives tell a different story: http://ameraucanabreedersclub.org/history.html
examples always helped me make sense of the difference, so here are a few examples showing what each one is: