I called them to make an appointment for the SSN. As, I was in F1 before, working on OPT, I had an SSN, but my wife was in F2 so she did not. They told me that my SSN is updated and there nothing they need to do on their side. Then they schedule an appointment for my wife, and asked to bring Green card, Original Birth Certificate, and ID (passport). Its really simple, I am not sure why they are confusing you. As raphael1899 mentioned need to replace the SSN card, I explain them my situation but they said nothing need to do on my SSN. I called them twice and different person said the same-thing.