Who am I without a name?

It is very interesting how, without a name, we cannot explain who we are. Moreover, there are names that are not possible of pronounciation elsewhere than the country of origin. You can have a name that can be pronounced "right" only in your country and in your language. What about other languages? Does your personality cease to exist, or does your name change the meaning of who you truly are? The name is what our parents give us at our birth and this, consequently, shapes our life. There are meanings of names, which describe the personality of this or that person, with a name or another. I was called Tanya, but my parents were planning on calling me Zena. Does this mean that being Zena I would have been a different person? Does this mean that I would have had a different personality and different character? I will never know it. 

What I know now is: my name is Tanya. This helps me to define myself.But... what if I didn't have a name? What then?