re: Question regarding potentially incorrect w2

The amounts in box 15 and box 16 should reflect the amounts you were paid while performing services in the respective states listed. Where you resided at the time you earned the income is not the employers responsibility to report. They are responsible to report where you earned the wages. You report where you resided when the wages were earned since you have firsthand knowledge of that information.

It sounds like your employer has it right. Texas has no state income tax, and you only worked there for a small fraction of the year. They just left the state blank.