You're talking about a lazy eye. There's actually a medical name for that. (I forgot what it is and am too lazy to look it up.) I have a picture of me and my college roommate with a guy whose one eye is looking at the camera and the other eye is looking to the side. It's kind of strange to talk to someone when both of their eyes are not looking at the same thing.
The brain sees what it wants to see, and that's from what the stronger eye is looking at. Young children with this sometimes have a patch over their good eye so that the weaker eye HAS to work. Sometimes they do surgery for this, but it doesn't always work.
What does the lazy eye see? The brain just kinds of turns that part off. That's what I understand from people with this problem.
Dawn