Proposed background (this doesn’t all have to be portrayed or spoken of in an edit):
The Emperor senses the power of young Rey and has Snoke order her killing.
Snoke sends Kylo, age 16 to find Rey.
The Emperor also dispatches his own agent, Ochi to find Rey.
Rey’s parents sell her for drinking money before Ochi ever finds her.
As Rey’s parents depart in the ship, Rey in a fit of rage forces the ship down and it crashes, killing them.
Kylo arrives to find Rey bringing down the ship, she goes unconscious. He feels a connection with her.
Kylo lets Rey live, buries the parents bodies to hide the evidence, and lets Rey go.
I dig it, explains Kylo’s reaction in TFA “What girl!”