I was thinking the same, but wikipedia says otherwise: The name only appeared in Japan after the novel "Chijin no Ai" where the main character has a foreign name, kind of as a representation of the new modern woman (or at least that's how I understood it). If you can read japanese just take a look and tell me what you think :) The link looks weird, if it doesn't work it's the entry on Naomi ナオミ. There is also a discussion on the "note" page, where they cite how the name was described in the book as "like a Westener". http://ja.wikipedia.org/wiki/%E3%83%8A%E3%82%AA%E3%83%9F
PS: I also forgot Risa, Emiri, Arina, Erina, Erika.
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