My name is Neve, but I pronounce it Neev or Niamh. My mother thought that it would be easier for a child to spell rather than Niamh, but we live in Canada now and I think about 5% of the time someone will say it right. I like my name but it's so irritating to correct people all the time.
My name is Niamh (which I've always loved!), but since I live in the States often times people have a hard time pronouncing it. For people who just can't get it, I tell them to call me Neve ("nev", like Neve Campbell, the actress) instead. I like Niamh better, but Neve is also nice.
Neve Campbell's given name is not an Anglicized form of Niamh. It is pronounced to rhyme with Bev, not Steve, as Niamh is, and is her mother's maiden name. It goes back to a Dutch or Flemish surname meaning "nephew."