the following text is taken from this website:
http://members3.boardhost.com/cgisnames/msg/2175.html
[...hey congrats on ur baby girl.my name is ayrin and i am kurdish .in kurdish it comes from the word fire wich they call Agrin but just a nother way for sayning that.i thought i was the only person name ayrin and is spelled this way.but i am glad to hear that i am not alone....]
So, yes, Agrin is Kurdish and it means 'fire'