I talked to Southwest, they said I needed to talk to Summerglen. She did suggest getting a new card. That will be complex - I don't actually live in Fort Worth, I have a TexShare card that the Saginaw library issued me, and I use that to get a limited-access Fort Worth card. They do go by number.

I suspect it's just clerical error. Possibly Summerglen doesn't have barcode readers and enters the numbers by hand? There seemed to be the implication that it was a small branch with limited hours.