Trish, I'm familiar with the school, lol,
If nm is living at home, it probably isn't that far away from school so to mom, and nm to a degree, this is just as if she transferred to another high school.
Nm does need to have a talk with mom and say that I love this and this and this about the sorority. For one thing, it lets me experience new things with people that I feel comfortable sharing with that has my best interests at heart and wouldn't allow me to get into a situation that I shouldn't be in (take that drink away, lol)..
I think that as the mom gets to know the chapter members, she should fill better about letting go.
If things don't improve, then the nm may quit and always blame her mom for letting a terrific opportunity go bust.
((On a side note, I misread the title and thought it said Parents Sellling Sorority Membership!!))