score:2
Show up for your flight with as many picture ID and documents you can come up with. You can even get a notarized letter (free from your bank) to confirm she is the same person. I even have my ancient expired college and grad school ID cards available to call upon if/when the need arises.
I have had wrong name problems on my documents for the last 19+ years (maybe even 43 years if you consider my original birth certificate has a mistake and leaves out my surname completely) and obtained many visas and boarded literally hundreds of flights with those discrepancies. See my case here. Haven't been denied boarding or refused a visa for that reason, although I have been questioned a few times. In reality name misspellings occur a lot in life even on official documents.
Be nice, polite, and smile but assertive if necessary to the boarding agent and TSA.