1. Her mother was Queen of Naboo
2. Her adoptive mother was Queen of Alderaan
Before he became first chairman and viceroy of alderaan Bail Organa was called king of alderaan before lucas changed this.
Originally it was hinted at from the arthurian mythos in a new hope that Luke's father may have been a King, or a prince, see the mythology of star wars book from the smithsonian.
A royal consort to the former queen of Naboo, or A Dark Lord of the Sith second in command only to the emperor himself, not too far off the mark.
The myth of the bloodline of heroes.
Why is she given such a position of power albeit in a democracy, because she was Anakin Skywalker's daughter the most powerfull of all the jedi, and the most feared of the Sith Lords Darth Vader. Of course her political skills and humanitarian skills came from Padme but her fierceness and fiery spirit came from anakin.