It really depends on the financial state of the parents AND the girl.
If the parents are well-off, and the girl is just starting out making minimum wage, the parents should continue to help out, and allow the girl to put money away for the future.
If the parents are essentially middle-class, they probably should still cover the basics, but any extras should come out of the girl’s pocket, although if the parents insisted on her paying her way, there wouldn’t be anything wrong with it.
If the parents struggle financially, the girl should certainly contribute, regardless of how much or how little she makes.