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It depends, but probably. You will file an Iowa nonresident return for the income earned in Iowa unless she does not meet the filing requirements. Iowa's nonresident wording is a bit tricky, but if she earned at least 1,000 in Iowa it is likely you will need to file. Here is their state website with the requirements: https://tax.iowa.gov/expanded-instructions/who-must-file-2.
Of course, SD has no state tax so none of the remaining income is taxable anywhere else.
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