Facebook Alizee her daughter

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Ive been browsing alizee wikipedia for a bit and i noticed her daughters name coming up. I vlick it to see how she looks since i havent seen her ever because of the very nice blurred pictures the press posted. I slso dont want to say her name because it is rather private and she has nothing to do with my fandom for Alizee.

Even tough the profile picture is amazingly cute and shows mother and daughter happy together i am wondering if it is duch a good idea to have your child exposed to the internet at such a young age. Call me old fashioned but i wouldnt even alliw my children to have facebook before 16