I'm a bit behind in posts, so maybe someone has already addressed your brown egg laying EE. The only thing I can say is that it is believed that the blue egg gene is closely related to a pea comb. I would be interested to see a picture of your EE. Also, I THINK the blue egg gene is dominant, so it would be rare to have a true EE lay a brown egg. Maybe SONORAN SILKIES can chime in here, she is much more knowledgeable about genetics than I am!
I confirmed it was my EE that lays the cream egg. I only have 4 chickens and 2 of them have been laying brown eggs for over a month and the 4th chicken is a Welsummer so the cream egg HAD to be Eleanor's but just to be sure I coop stalked her yesterday and she popped out the light cream egg. She has a pea comb, willow legs, muffs, and beard. I have read numerous places that blue is dominant. I have seen pictures of people who have EEs that look almost identical to mine but theirs lay blue eggs. I guess she's just super special and I got the rare cream egg laying EE. Her egg is not as stark white as a grocery store white egg, it definitely has a slight tint of cream so it's actually quite pretty.
Yesterday's eggs RIR, BSL, and EE