Rose left that family after the sinking of the Titanic. She gave it all up and started a new life for herself, under a new name. But she did find a measure of success as an actress, so she was probably doing alright. No where near her previous wealth, but comfortable.
And she chucked a big part of her kids’ inheritance off the boat!
Considering how wealthy Rose's family is portrayed in the movie, I'm going to assume that her children did just fine without it.
Rose left that family after the sinking of the Titanic. She gave it all up and started a new life for herself, under a new name. But she did find a measure of success as an actress, so she was probably doing alright. No where near her previous wealth, but comfortable.