Eponine

Everyone pronounces it ep-OH-neen, but in my head I always read it the French way, AY-poh-NIN. I can't think of another -ine French name that's not pronounced that way. Most of these are, anyway, and the ones that aren't definitely aren't pronounced -neen! I guess it's because so many anglophones are fans of Les Mis and the play is most often performed in English, it's losing its French-ness. Fantine is suffering the same fate - "fawn-TEEN" instead of "fawn-tsin".
http://www.behindthename.com/names/gender/feminine/usage/french/pattern/*ine.

Pronounced EP-oh-neen: stress on the first syllable, "EP-" as in Pepper, "-oh-" as in Oh, No! and "-neen" that rhymes with teen.

Pronounced Ep-O-Nee, Ep-O-Neen.