First, it sounds like one of the W-2s only reports the 2nd state info, which is commonly how companies report this. In this case, you can add the second state reporting to the main W-2 entry (see instructions below).
If NY only has info in the state information boxes and not in box 17 withholding, then you don't need to enter this information at all. Since your wife didn't work in or live in NY, there's no requirement for her to file state taxes there. However, if they were withholding for box 17, you can try to report it for a refund and I'd talk to the employer to stop withholding.
To add the second state:
- Log in and click Take me to my return
- Click Federal Taxes and then Wages & Income (If you have the blue button 'Check for more income', click it and then click 'Skip to see all income')
- Next scroll down to Wages & Salaries and click Show more
- Click Revisit next Wages & Salaries
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Next, you'll be on a summary screen of all W-2s entered. Click Edit next to the applicable W-2 and you'll see all of your entries. Scroll down to State & Local Taxes and click + Add another row (see screenshot attached below).
If you have two W-2s, with duplicated information in box 1-6, then you'll need to go back to the employer because this is incorrect. You would technically need to report both, which would correctly double your income.
