Back to the subject:
Nice theory! Something huge will be releaved about Lily Potter, and Harry's eyes play a big role. Rowling did say that there's more to her than what meets the eye. They all might be releated in some way.
Rowling has also clarified that she is not a squib. If she's not a squib, she's really not a witch, which means she can't posibally be an animagus(to whoever said that).
I think she knows more about the wizarding world than it appears.