^^Well... she IS a child of the late 20th century. No way she could avoid Star Trek in its many incarnations.
Interesting thing to think about - do they have tv/movies in Storybrooke? They have a library, are the books only ones they were available in the magical realm or are their normal-realm books, and if so could the fairytale characters read books about themselves?
I think the Storybrookers were aware of the fairy tales, even when they were cursed, which is why they didn't take Henry's crazy theories seriously--because he was talking about famous storybook characters that everybody knew weren't real.
Note that we never heard a conversation like this:
"He's thinks you're Snow White."