While reading the Harry Potter books, I noticed that J. K. Rowling repeatedly commented on Lily Potter's red hair. And, of course, every known member of the Weasley family has red hair, too. She did this so often that, while reading this series for the first time and waiting for the books to come out, it made me start to wonder if she was building up a case for Lily to be related to the Weasleys in one way or another.
I know that Lily's parents were both muggles and I don't remember hearing about muggle relatives of the Weasleys, but I still keep wondering about this.
Was there any connection between the Evans and Weasley families? Was there any indication or any comments from JKR that she was thinking of tying the families together by some distant relationships? If there is no connection, is there some reason JRK emphasized, over and over, Lily's red hair?
(And, please, no comments about Harry and Ginny. With what we know, they couldn't be more than, say second cousins, so let's not go there, okay?)