Yes, I did that before. It is really easy. Don't listen
what those operators said. Bring all the document and go to SSN office. In my opinion, SSN office is one of the best office. Your kid will get SSN in two weeks.
I feel bad when I was there last time. Before I enter the office, the security officer stop me for check. He ask me:"what are you doning over there?"
I said:"apply SSN for my kid."
He said" Is your kid born here?"
I said"No, if she was born over here, she would already have a SSN number."
The officer turned really mad:"don't talk to me like that, I know!"