It's during this experience that Obi-Wan really makes an impact on Leia's life. So, even when she eventually learns his real name, Leia always associated the Jedi Master with Ben rather than Obi-Wan. Inspired by this, it makes sense that she decided to name her son Ben Solo — after Ben Kenobi.
Having revealed that he used to be a Jedi Padawan under Luke Skywalker, Ben Solo changed his name to Kylo Ren in order to escape his lineage after turning to the dark side. However, he kept a tie to his heritage when creating his new moniker.
In the old Expanded Universe, a.k.a. Legends, it was an alias he was particularly fond of; according to John Jackson Miller's novel Kenobi, he'd been given the nickname by the Duchess Satine of Mandalore, a woman Obi-Wan had fallen in love with back when he was just a Padawan.
In canon no Obi-Wan doesn't have kids. However, there is this theory where he and Satine had a child together but she hide it from him, knowing how it could ruin his jedi career. This child would be Satine's “nephew” Korkie Kryze…
This is how Leia knew Ben's REAL name, Obi-Wan Kenobi.
Did Obi-Wan really love Satine?
Only when forced into action did their camaraderie return. When Satine was taken hostage by Senator Merrick, she confessed that she had always loved him. Obi-Wan, despite the situation, confessed that he too loved her and would have left the Jedi Order if she asked it of him.
Obi-wan responds to starwars.wikia.com/wiki/Luke_Skywalker saying R2 belongs to him with, “I don't seem to remember ever owning a droid,” which is technically true, because Obi-Wan never did “own” R2 or C-3PO. Obi-Wan then makes a comment that suggests he's more than aware of R2's impressive capabilities.
Because Luke always knew Obi-Wan by his incognito name “Ben” his entire life. Even after learning his real name was Obi-Wan, it still would only be natural for him to keep referring to him as such.
Kylo Ren dies on Kef Bir (the ocean moon of Endor) shortly after Rey deals a mortal wound during a lightsaber duel on the wreckage of the second Death Star. Though Rey Force-heals him, saving his life physically, this blow, coupled with the memory of his mother and father, destroys the man known as “Kylo Ren” forever.
JJ Abrams told Empire in August 2015, "Kylo Ren is not a Sith. He works under Supreme Leader Snoke, who is a powerful figure on the dark side of the Force." Abrams had previously stated that the character "came to the name Kylo Ren when he joined a group called the Knights of Ren."
However, rather than be an oversight or plot hole, Leia might not have remembered old Ben for one sinister reason. This has to do with Ben's Jedi powers, namely the mind trick. As he grew older, he'd use it on Stormtroopers to protect Luke Skywalker.
For all we know, Leia specifically channeled her own life force into Ben, helping Rey along and sacrificing herself in the process. That may be why Leia finally dies and fades away at the moment Ben revives Rey and fades away himself. When Ben dies, any tether Leia still had to the living world went with him.
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.
While you'd think Owen would welcome the extra security and free hardware, he believes that Obi-Wan's endgame is to train Luke as a Jedi, which he is vehemently against.
The Skywalkers would name the boy Ben, after Luke Skywalker's Jedi Master, Obi-Wan "Ben" Kenobi. After Ben's birth, the Skywalkers were notified by Borsk Fey'lya that they would be allowed to return to Coruscant, and the arrest warrant had been lifted.
Leia's Force abilities and her lack of awareness of her true identity also contributed to Vader's inability to sense their familial connection. Vader's denial of Anakin Skywalker's legacy and his fear of getting hurt again prevented him from realizing the truth about his children until later in the original trilogy.
Darth Vader acts like he doesn't even know C-3PO or R2D2. They were with him since he was a child. He did everything he could to forget his past. Also, his plating had been replaced many times, and protocol droids all look very similar.
Darth Vader's true identity as Anakin Skywalker was a highly guarded secret, known only to a select few individuals including Palpatine, Obi-Wan Kenobi, Luke, Han, Leia, R2-D2, C-3PO, Master Yoda, Bail Organa, Ahsoka Tano, Darth Maul, Grand Moff Tarkin, Grand Admiral Thrawn, Jocasta Nu, Ferren Barr, Verla, Reva, ...
This fell in line with various fan theories and non-canon novelizations that suggested Obi-Wan and Padmé had an affair sometime during the Clone Wars. In the Star Wars prequel movies, Obi-Wan often has a duty to protect Padmé, but there was never any sense of romantic feelings.
Satine Kryze was the love interest of Obi-Wan Kenobi in Star Wars: The Clone Wars. Duchess Satine Kryze was the pacifistic leader of the New Mandalorians and the planet Mandalore during the Clone Wars. She also had a sister Bo-Katan and a nephew Korkie Kryze.
