After the duel on Mustafar and Anakin trying to strangle Padme, she survives but realizes Anakin is a monster, and knows she must go in exile. Kenobi, Yoda, and Bail Organa are there to witness the birth of Anakin/Padme child, but as fate would have it, it is twins. Yoda looks at Kenobi with a gleam in his eye that there is hope that two kids will be this strong with the force.
After Padme has twins and names them Luke & Leia, she discusses with Kenobi taking them in exile to hide from Anakin. Yoda steps in and says that the twins must be split up, for if Anakin & The Emperor find one of them, and not knowing she has twins, one would always be safe and being the only hope.
Padme disagrees and won't hear of splitting up her newborn babies. Yoda & Kenobi, and Bail talk outside the delivery room about where the twins can go. Bail says he can take Padme to Alderran with her to safe haven, as they have no weapons and are a peaceful world, and are the last ones to get in a fight with the empire. Kenobi then offers to take one of the babies to Tatooine to watch over them as Owen & Beru Lars become the adopted parents.
This is where the true drama Lucas missed: Kenobi then tells Padme she has to give up one of the children, and she begins to sob hysterically and still won't give in to them, but deep down she knows it is the right decision for atleast one of the babies safety.
She then looks at Luke & Leia, and as she is still crying pauses for a while, and then slowly cradles Leia, but still staring at Luke the whole time. Kenobi then grabs Luke, and Padme begins to run after him as she cant bare to give her child up, but Bail Organa stops her and consoles her as even he knows this is the right decision. She then asks Kenobi before he leaves, "Where are you taking him?" Kenobi replies, "Im sorry Padme, I can't tell you that, but I guarantee he will live a good life." And he exits the room, Padme falls to the ground crying hysterically, as she holds her daughter Leia.
The last montage would be Vader on the Star Destroyer, Padme holding Leia on Alderran very beautiful, but sad (as Leia says in ROTJ), and Luke be held to the binary sunset by Uncle Owen & Aunt Beru.
The credits roll..........
Instead we get Padme losing the will to live and Leia's memories don't mean shit from ROTJ. Thanks George for a wonderful link-up.