Can you track a Wi-Fi names location?

My friends phone was stolen, and since they were in the process of starting their icloud account they can't track the phone. The most they can do at the moment is turn it off. But now whoever has their phone is sending out damaging texts to his job and family and posting stuff on FB and tumblr. Is there anyway to find out what Wi-Fi address your iphone is connected to and track the Wi-Fi address down to its location? My friend is afraid he'll loose his job because he can't stop the person from sending his boss these texts and his boss isn't taking it very well at all and neither is his family. If anyone has any suggestions thanks in advance

Added (1). Btw he has turned the phone off/marked it as stolen.whoever has the phone is using Wi-Fi to send out texts to other iphones and post on FB ect

If anyone could, it would be his phone carrier. I'd have to ask why he just hasn't had the phone shut down. Odds are even if they find the closet cell tower, they still won't find the culprit.
Edit: The phone company should easily be able to connect to it and disable all of its functions.