Here are a few myths about eggs.
I will add that:
•brown eggs are not any more healthy than white. Various breeds lay different colored eggs.
•The feed makes the difference between pale & yellow yolks. One of these sites claims that egg yolk color depends on breed too, but I have never run across this as being true in chicken circles.
•The white stringy thing (chalaza) is present to keep the yolks stable. It is not what the rooster "does."
You can find a simple illustration of the anatomy of an egg here, as well as some terms. Germinal disc=blastoderm
In depth analysis of an egg (very long & detailed):
What other myths have you heard about eggs?