Vanderbilt has no name recognition in California. NYU is better known.
I do agree that in certain cases, a school's undergraduate reputation might influence perception of the MBA degree, but I don't believe that people that hire MBAs - especially those that hire MBAs regularly - will have any confusion.
I read a funny quote just recently. If you want to impress your cabbie, then tell them you have an MBA from Yale. On the other hand, an MBA recruiter will not be confused as easily.
Just my personal opinion, but Tuck, along with Haas and Michigan are at the top of the heap for elite schools. I draw this conclusion based on selectivity (Haas and Tuck are more selective than several ultra-elites, while Michigan's yield exceeds Kellogg's) and ranking reputation (Tuck & Michigan are in the top 5 of several rankings).
Again, just my personal opinion, but I think that Yale, Darden & Cornell are at the lower end of the elite schools. This is based on selectivity (Darden & Cornell are clearly less selective than other elites, while Yale must severely limit its class size to maintain selectivity) and ranking reputation (all three are ranked outside the top 15 by several rankings).