The DMV here in Miami indeed insisted that the names on SS card and Combo Card were the same in order to issue me a DL - despite marriage certificate. I actually went to the Social Security Administration right after our wedding and had them issue me a new card (and then actually checked “no” on my I-765/I-485 applications when they asked if I needed a new one).
If she doesn’t want to wait any longer maybe she could just go by the SSA and get it changed herself?😊