I've heard stories about these parents in magazines. It doesn't even stop after college. The article I read had stories from headhunters and HR staff. Very pushy with an extreme sense of entitlement regarding the little darlings entry level jobs, earnings and advancement. If I was in charge of hiring, I'd make it very clear, YOU ARE NOT SPECIAL.
If I was in charge of hiring, I sure wouldn't hire anyone who had to have Mommy & Daddy handle the application process for him/her!