Having trouble obtaining a new Social Security card

So, a month ago my wife finally got her green card after a looooong process. During the green card interview, we changed her last name to mine. So after the physical card came in the mail, we headed over to the social security office to get her issues a new card. The first time we went they couldn't verify with DHS yet that she was a permanent resident and they said it sometimes takes up to 4 weeks. Well its been more than that now and they still cannot verify her. They tell me we should contact DHS to see what's going on but there doesn't seem to be a way to talk to a person directly and their website has no answers for us. Does anyone know what my next step should be? I'm really worried about the whole situation because she wants to start working again and this is holding her up from employment.