Thank you for the suggestion, @AmyC . That might actually work.
The state where we live and work is Illinois. The state where the scholarship and 1042-S were issued is NJ (but my husband wasn't living in NJ during those six months of 2023 and he was a non-resident alien at the time; meanwhile he became a resident alien for tax purposes).
If it helps, from the 1042-S form: income code (1) is 16; exemption code (3a) is 00; exemption code (4a) is 15.
