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I'm not a huge fan of Irish names in general, they're too popular and so difficult to spell and pronounce. I don't see why you couldn't use them just because you're not Irish. I like many Jewish names and I'm not Jewish, I think by now these European "ethnic" names have entered a wider Western cultural context.
As concerns Irish characters, I guess they would be suitable as long as you don't overdo it. Having a character named, say, Oonagh Muldoon is a cliché.