Applied for SSN over a month ago, still waiting

[Kpow 0]

Hello, I'm hoping someone can tell me where to go or who to call to get something done. My fiance came in to the US on her K-1 on October 1st. She applied for her SSN two weeks after and was told her name was entered into the system wrong and whoever did it entered her first name plus her middle name as her first name...which they said was too long and unable to fit on the card so they could do nothing for her other than contact DHS for verification, a process that takes up to 4 weeks. 4 weeks has come and gone and they're telling us we just have to keep waiting, there's nothing they can do until they hear back from DHS.

This is ridiculous. She can't do anything until she gets a SSN and we've been getting the run around for weeks. The SSN office keeps trying to send us to our local immigration office and the immigration office keeps telling us there's nothing they can do, the SS office has to handle it. Is there anyone we can contact to stop this stupidity? Or should we just keep waiting indefinitely and hope someone gets their act together?

Thank you in advance for any help anyone can offer.