She also knows
Throughout her encounters with Kenobi in the series, he refers to himself as Ben. The most straightforward explanation would be that Leia knows the person who rescued her is Ben, and never connected the dots that Ben is actually Obi-Wan.
Leia does not seem to react to tragedy. Instead, she has this wonderful ability to stay perfectly alert, reasonable, and careful of the feelings of others. She witnessed the destruction of her entire planet, and still had the mental and emotional strength to escape with Luke and Obi-Wan.
And as Obi-Wan spends time with young Leia, he can't help but note how much she reminds him of her parents. “Princess Leia Organa,” Obi-Wan addresses her in the finale. “You are wise, discerning, kindhearted. These are qualities that came from your mother.
She did know she was adopted, as she apparently barely remembers seeing Padme(despite the fact she was only a baby). There's also the fact that Leia was white and both of her parents had tan skin, so it would have been apparent to most that she was adopted.
Obi-Wan came to the Death Star to save Leia from the Empire's clutches, but was killed by Darth Vader while the others were busy escaping. Leia didn't see Obi-Wan again, nor did she experience any sadness when she learned of his death.
During the iconic opening moments of Star Wars: A New Hope, Darth Vader has a tense confrontation with Princess Leia, an adversary who, unknown to him, is actually his daughter. Despite participating in Leia's interrogation, the Sith Lord doesn't uncover his familial connection with the rebellious royal.
The first panel shows Vader trying to desecrate the remains of Padme before being stopped by one of the handmaidens of Amidala. The second panel features several flashbacks of Vader's memories of Padme, leading the villain to reflect about the lost time with his beloved.
The reason Leia likely remembers Padmé is that she could sense her mother's emotions at the time of the senator's passing. Luke didn't possess the same ability as his sister and inherited their father's Force potential. This links with Luke's desire to follow Anakin's Jedi path.
Out-of-universe, because the original movies were produced prior to the prequels, Padme was among many prequel characters who didn't yet exist during the filmmaking of the originals.
This is not because the Third Sister knows that Leia is Anakin Skywalker's child; it is because the Third Sister found a link between Obi-Wan and Bail Organa and she believed Obi-Wan would do anything to save Bail's daughter.
Why does Obi-Wan Kenobi age like that? Because he's not real, and is a fictional character played by different people. You see, Obi-Wan Kenobi is played by Alec Guinness in the original trilogy. Guinness was 62 when he filmed A New Hope, and he died in 2000.
In Rogue One, Bail Organa and Mon Mothma chat about an old Jedi, definitely making it clear they both know Obi-Wan is alive, meaning that this stuff on Rebels about people thinking he's dead is by design. Part of this is because Obi-Wan has been shamed into hiding.
Princess Leia pleas for General Kenobi's help in their struggle against the Empire in a holographic message played by R2-D2.
Her message ends: "This is our most desperate hour. Help me, Obi-Wan Kenobi. You're my only hope." Obi-Wan is visibly emotional as he watches the message – and now viewers think the moment has taken on a new meaning thanks to the series.
The first time, Obi-Wan tells Leia she reminds him of someone “fearless and stubborn,” a “leader who died a long time ago.” While it's possible he was referring to Satine Kryze (voiced by Anna Graves in the Clone Wars animated show), it seems more likely he was talking about Padme.
Following the Wampa attack during the movie's opening scenes on Hoth; Leia, Han, and Chewie visit Luke in the infirmary. Leia is annoyed with Han, who insists she has feelings for him, so she kisses Luke to prove she doesn't. Presumably, the scene was simply meant to make Han jealous.
The Little Girl
Long story short, she is Padmé's niece, Pooja Naberrie, and was portrayed by Hayley Mooy. If nothing else, you just learned a fun piece of Star Wars trivia.
Darth Vader didn't learn he had a daughter until Return of the Jedi, when he stood before Emperor Palpatine. The Emperor's power probed Luke's mind, attempting to goad him to fall to the dark side, and he discovered Leia's existence.
Anakin does not have even the slightest bit of remorse. By the end, he feels nothing but anger. Although he feels regret for killing Padme, he still helps the evil Emperor. The film ends with Anakins standing side by side with the man on whose behalf he has committed all his crimes.
However, when they next met in Star Wars: Episode II – Attack of the Clones, Anakin and Padmé's feelings for one another grew into something resembling love, and their wedding at the end of the film solidified their relationship as one of the most important romances in Star Wars history.
This is confirmed later in the movie when Obi-Wan informs Padme that Anakin killed them. Both are torn apart with hurt and confusion, trying to make sense of something so terrible.
Later, the heroes go to the forest moon of Endor to prepare for a battle with the Empire. There, Luke reveals to Leia that she is his twin sister and that Vader is their father.
Reva knows that Anakin Skywalker is Darth Vader because she was one of his targets—a child—during the Order 66 killings that took place during the events of Star Wars Episode III: Revenge of the Sith.
In Legends they did talk, but they did not reconcile. Anakin approached Leia as a Force Ghost and apologized for what he did to her as Vader. She basically told him to go away.