I'm a notorious dog lover! Cats.....not so much!
I was born and raised in S Calif, but when someone asks, I tell them in PA north of Pittsburgh, but then they point out that I don't sound like I'm from there, I let them know I was raised in Calif.
Nothing wrong with Tyto Alba's answer, but---
I've heard of "native land," but not "native place." (See the poem: http://www.bartleby.com/101/547.html)
So when I searched for it, I may have found out why:
"its use ("native place") seems limited to Indian English"