My goodness, really?
Yes, Easter Eggers may have Ameraucana in them, and yes, often people say they're a mix of Ameraucana or Araucana, but NO, in most cases they originate from the colored egg laying mutts we received from South American BEFORE we created the Ameraucana, thus, most Easter Eggers are
not simply crosses of Ameraucana and Araucana.
Don't just read what a BYC thread or two says - Research the history yourself. The EE's from hatcheries began, especially from Murray McMurray, before Ameraucanas as a breed existed. That's why such hatcheries still claim to have that name, because it is a way to sell well and associate the seller with a similar breed, avoiding saying "these are actually a mutt."
So again, yes, EEs can have Ameraucana or Araucana in them (but most don't) even I have some Araucana x New Hampshires that are techincally Easter Eggers, but
hatchery based Easter Eggers are
not crosses of Ameraucana and another breed. That is like saying a Great Dane cross naturally has Dogo Argentino in it. Dogos were made
from Danes, but that does not make a Dane related to the Dogo.
Anyway, throwing all that aside, back to the point of this thread (apologies to the OP) - Yes, Easter Eggers may have brown eggs. It is a part of creating green egg layers - You can get some brown in there, as green eggs do not breed true.