Dany was exiled from Westeros so she has no right to the throne either.
Speaking of her, I was thinking about her whole story and how well she would be received if/when she makes it to Westeros with a bunch of slave soldiers and tribe of brutal warriors. I don't feel she would, or should, be accepted by the people of Westeros as some rightful heir to the throne. I think her story makes her look like more of a conqueror than anything else and I see the people of Westeros being in fear of her more than they would be sitting with open arms. Westeros isn't Essos. Not to mention the Lords of Westeros probably are not going to let some chick with dragons and a Barbaric army to just waltz in and be like hey everyone, I'm Queen now.