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Richard is Beth's older brother. After their dad committed a murder suicide on himself and their mom, Richard and Beth were taken in by a "group" that their dad was highly affiliated with. Richard didn't really care for Beth, and just tolerated her presence. When they were younger, Beth cut Richard's face in self defense.
He would care less if Beth died (and she did), but usually acts like he did care so Jason would feel bad.
Beth is Richard's younger sister. She was attached to Richard at the hip when they were little, but eventually saw how terrible he was. He blinded one of her eyes.
She didn't really like Richard, even though they grew up together.
They constantly competed, as both of their personalities tended to clash.
If Beth found out about everything that Richard did, she would be incredibly pissed.