I don't think Bail Antilles and Bail Organa are the same persons. Bail Organa is the one that takes care of Princess Leia as their fosterdaughter. But Bail Organa was on Alderaan when it got blown up by the Death Star.
And as Thrawn said about "...fool idealistic crusade" is true. That is the Clone Wars Uncle Owen refers to.
Wedge Antilles was a captain, but not the captain on Tantive IV, and he may be the one C3PO refers to. I'm unceartan.
And yes I would be very sad to give up my two children if I had to hide them from the father. I think she knew what she had to do even after the twins was born.