I believe if they have red earlobes, they will lay brown, or tinted eggs, and white earlobes, they lay white eggs. My girls all have red earlobes, and lay from light to very dark brown, including the EE hen, which lays nice blue-green eggs.
Not true, but it does happen that most of the (american)STANDARD breeds do happen to fall along red= brown white=white. Not sure why this is so, but it is perfectly possible to have white eggers with red lobes and vice versa.. actually there are few such breeds. Don't remember them right off..
Remember this is generality but not written in stone.
My girls, and I have two, have beautiful white earlobes, lay brown eggs.
Drove me crazy trying to figure who was laying what until I caught her. Turns out she ismy best layer, go figure.