Do you agree with this FROZEN theory? (This is my original theory, not the game theory guy's)

I theorise that Elsa is actually mother Gothel's daughter! Now hear me out first.
We know that Frozen and Tangled take place three years apart and that Repunzel goes to Elsa's coronation. So the too stories aren't too far apart.
Also we know that Mother Gothel wants to stay alive, and we aren't given a motive.
A possible explanation is she fears death, or that she just believes she was so pretty the world deserves her beauty. The only explanations we are given are selfish, but even if she fears death, she is old and really it seems she has nothing but a tower and eventually a blonde child.
Elsa has ice powers (well duh) Mother Gothel wants to use magic to keep herself young and she seems to be the only one who knows the most efficient way to use the flower. The queen eats it and makes it difficult to reuse. So Mother Gothel definitely knows something to do with magic. Perhaps Elsa was lost and because of the magic in her blood when she got cold (and frozen perhaps) she gained the ability to manipulate snow and save life. Eventually she (Elsa) found her way to Arendelle and the king and queen felt sorry for her, plus if Anna wasn't born yet, they needed an heir so they adopted her and told everyone she was their own. So when the trolls ask if Elsa was born with powers they don't know.
I know this takes big leaps of faith, but please consider it and expand on it. Also Elsa does look like the creepy lady in Tangled.