No. The name did not originate from the movie. The saying "she's like the girl next door," which was around long before the movie is used to refer to the kind of girl you can take home to meet your parents, she's sweet, well mannered, & well rounded generally speaking. An All American Girl.
you couldve went with Alpha Alpha Gamma. but then not all of your sisters (potentially) would be American (well i suppose culturally) and then itll get messy in the name of PC-ness.
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Do you know people? Have you interacted with them? Because this is pretty standard no-brainer stuff. -33girl