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Unless you meant Naoise in the first place (which is an Irish male name, occasionally used on females - see the blue hyperlink), it could be a mixture of that and Saoirse. It seems to blend the two names.

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Google doesn't find a single match for Naoirse, so I'm sure it isn't an established name:
http://www.google.com/search?hl=en&q=Naoirse