Hmm. Interesting. That could be.
If I had my druthers, she’d be a Kenobi, or at least unrelated to the Skywalkers. It’s a big galaxy and there’s no reason everyone has to be kin. It might also be more interesting to learn more about some other anti-Imperial dynasty over the next few movies.
Assuming this is a whoosh, because it’s near impossible to think that Ben Solo’s parents are Han and Leia.
And there is no way Rey’s parents are characters from a cartoon that have not appeared in any of the movies. I think Luke almost has to be the father. Obi Wan was probably too old. Han and Leia would hopefully know if she was their daughter.
New major characters get introduced all the time in movies with or without backstory already established. It wouldn’t be hard to plug Ezra or whomever into the story in a way that gives enough information about him for someone who has never seen the cartoons before.
In fact there’s nothing to say Disney couldn’t just introduce a new line of characters (not a Skywalker or Kenobi) into the movies. If it happens to be Ezra (or Ahsoka or Kanan or Sabine or whatever), they just happens to have a backstory already established in the cartoons. Or it could be none of those heretofore established characters, yet moviegoers will still be able to figure things out just fine.
Still, I’m not saying that I think it’s likely Rey is Ezra’s kid, but I don’t see any reason why they couldn’t introduce some of these newer characters into the movies. In fact, Ezra’s the same age as Luke. They’d both be wise, powerful force users at this time. And since Disney is investing a lot into the Rebels brand, it would make sense to bring at least some of those characters into the new movies.
I think she’s a character played by an actress named Daisy Ridley.
What do I win?
See, I’d argue that they’re not reincarnations, but more like manifestations. Like say the Force needs to be in balance, so up pops a really Chosen One who’s really strong with the Force. But not a literal reincarnation or anything, just a person who has whatever the same essential traits are.
If Kylo Ren was a tad older I’d almost say that he’s Rey’s father.
They never said why he turned to the dark side but it would be eerily similar if he had a wife that died who he didn’t know was pregnant and then they sent her off to Jaku to hide her.
They even had him interrogating her ala Darth/Leia with neither’s knowledege of the relationship.
“Han Solo! He was like a father to me! You killed him!”
“No Rey, I am your father!”
This is one of the reasons I like the idea that she is a Kenobi. It was a mixture of Guinness and McGregor that she heard. Not just Obi-Wan, both actors who played Obi-Wan. And he had the lightsaber for quite some time, so the lightsaber could recognize the bloodline of its former keeper (if not master).
I read an interview with her where she expressed great surprise that it was even a question - she claims it’s completely obvious to her from the movie.
Maz Kanata somehow ended up with Luke’s saber, so what happened to his hand?
My theory is that there a a bunch of Luke clones (made from his dismembered hand) stashed away on crappy outposts like Jakku, and Rey is one of them.
That’s an original idea. I’d say clones can’t be a different gender, but then the force isn’t real, so sure they can.
Is it? 
Rey is too young to be Kenobi’s child. Certainly not with the Duchess, as she’d be older than Luke.
I’m sincerely hoping that she isn’t related to any of them, as that universe is entirely too incestuous as it is.
Ezra Bridger is approximately the same age as Luke and Leia. Again, if she was his child, she’d likely be much older.
I’m hoping/expecting she’s the child of two of Luke’s students, who hid her when they knew the Knights of Ren were hunting them all down. The ‘connection’ then is that at one point, Ben Solo was a friend of her parents, and then killed them.
She could be the daughter of a minor character (Wedge, Biggs, Mon Mothma, Admiral Akbar 
, etc)
Brian
Well, the Y chromosome in their sample was damaged, so they had to double up on the Xes. Took them 23 tries to figure that out.
I say there’s nothing wrong with going with the obvious. In fact, if she turns out to not be Luke’s daughter, I’ll be rolling my eyes.
That would nicely do Kylo Ren’s head in given he has a grand-daddy obsession.
I’m thinking that she is Leia’s daughter…after she and Han split. I don’t think it is coincidence that the Falcon is on Jakku, and that there is a settlement on Jakku where Max Von Sydow’s character is (who obviously knows Leia) . Also, she has heard of the Millenium Falcon, and she has heard of Han Solo (the Smuggler) before. But she thinks Luke Skywalker is a myth.
The fact that Obi Wan’s voice is in the lightsaber sequence I think is irrelevant because Yoda’s voice is also heard, and I don’t think she could be an offspring of Yoda. (Going out on a limb on that one I know)
I would prefer if she had no familial connection to anyone we know. Look, there were hordes of Jedi in the pre-Empire days, and a fair number of Force-sensitives even after the Purge. Some people just come up with the Force in their blood - it may tend to run in families, but since the Jedi don’t (generally) reproduce, fresh recruits have to come from somewhere.
Also, it’s just too…soapy, for her to be the daughter of Luke/Leia/Obi-Wan/Yoda whatever.
I could maybe get along with the theory that she was…generated by the will of the Force, like Anakin - it’d even be cool, if Luke ended up turning. But I’d still prefer her to be the child of some scavengers on Jakku, who got orphaned and abandoned when her parent/s were taken away.
There’s a difference between a child (with consequent genetic mixing etc) and a clone (even one that’s been gender-swapped)
Cloning in the SW universe seems sophisticated enough that swapping genders should no problemo.