I know, too much fast typing
And Hound of UIster
I read that her mother was the Queen but when I looked up Bail's entry it said she became Queen after marrying Bail, a Prince. It also said she had five miscarriages before they adopted Leia. The EU is full of details like that.
Bail's family held the title of Viceroy of Alderaan.
The overall situation is not really clear according to Wookiepedians