How would handly this?

Today I got an phone, Asking for my name, the person Sound like, older lady from Janpan or somewhere like that! She say that my phone number, was in her cell phone, and she want know I was, most pepole who knows me, by the way I talk.
I ask for her name, she would not give it me, so I did not give my name.
Would give your name, if someone told that your phone was in they cell phone?