Do not read if you not read beyond the Clash of kings.THEY LOST THE THRONE!
Targaryens have the most rights to the throne. Their rule was interrupted by rebellion. Of course, the Aegon Conqueror won throne by force, but Aegon VI and Daenerys have greater rights than anyone else. It is my opinion that Stannis recognize their authority. Stannis has betrayed Aerys bacause he want to help his brother. But, now, because sense of duty, i think that he will recognize right of Aerys daughter. Also, I believe that Victarion will follow Dany, and he will get Iron Islands from her. Finally, it's not important winning the throne, but to unite all people against white walkers.
It isn't theirs anymore. Daenerys wants to be queen and
because they think they've got any right.Actually,Renly had a better claim than Daenerys.
Let's compare the philosophy they've got in their head about their claim:Good ClaimMid ClaimWeak Claim
Stannis: I'm the King's only heir.-Works,because that's right.
:The Throne was our father's,but it was taken from him.-No,because AERYS LOST THAT THRONE.
Joffrey:I'm the lawful king as his son.-1 no because unofficially his father is Jaime Lannister and 2 yes because 1-he already has the throne,2-he is officially Robert's son.
Renly:I don't have a good claim,I'm simply a better king than the others.-Actually,Renly is a better king than the others,but I would support some Other for King.Renly's 3rd place for me.
Euron:I take what I want and I want the Iron Throne.-Yay.2nd place.He's just awesome.