There is also the rumor that Harry’s dad was actually Diana’s riding instructor:
http://www.usmagazine.com/celebrity-news/news/princess-dianas-former-lover-denies-hes-prince-harrys-dad-w471711
1. vague resemblance
2. similar personalities
I have NO IDEA, obviously.
If that were tre, seems it would save the Royal family a lot of headaches..