Scandal singer Patty Smyth recently revealed in an interview that Eddie Van Halen wanted her to replace David Lee Roth after he left Van Halen in '85. Saying she was friends with Eddie and his then wife Valerie Bertinelli, she claims it to be true. I can't see it.
While the question might have been posed teasingly, I simply can not fathom a band so full of testosterone, such as Van Halen - especially in the '80s - would ever consider a female singer. Not to say she couldn't have done it. Patty is a wonderful, powerful singer. However, to be on the road with Van Halen in the 80s would have been an awful lot to see, ignore, and just deal with. Heck, even Sammy Hagar, road worn veteran that he is, couldn't deal with life in Van Halen after a while.
It would have been interesting to see what would have happened though, you must admit!
photo By GHOSTRIDER2112 [CC-BY-SA-2.0 (http://creativecommons.org/licenses/by-sa/2.0)], via Wikimedia Commons