that is true, however ...
As I said a little ways above, it isn't just a matter of languages.
Ibrahim and Avrom are the same name as Abraham, but no Jewish person would be likely to use Ibrahim, no Muslimn would be likely to use Avram, and I doubt your daughter would have chosen either one of them even though they are the same names as Abraham. You can say well, she liked the sound of Abraham best, and you'd be right, but I'm guessing it would be more than just sound that kept her from considering the other two.
Or consider the name Ebony. I happen to think this is a beautiful name, and I'm told that in Australia and the UK, it's fairly common on white girls, but here in the US it is most decidedly a culturally black name. You could say that Ebony is on a par with other precious-object names like Amber and Crystal, and again, you'd be right, but cold hard provable facts about origin and meaning aren't the only factors involved, for better or worse.
I think, therefore I judge.