Is Adam Hicks's girlfriend named Lili Simmons or Lili Cast?

All of the internet it says Lili Simmons is her name... But on facebook it says Lili Cast and I know for sure they are the same person! And they talk on facebook back and forth and he calls her Lili Cast and her mom Momma Cast and her dad Daddy Cast and which one is her real name?!? And on twitter she is Lili Simmons.