Since your daughter is not your dependent this year, she should file as a Maryland resident. Even though she does not intend to stay in Maryland, by registering to vote and getting her driver's license changed, she took steps to establish domicile in Maryland. Once you have domicile, you must intend to abandon it AND also take steps to establish a new domicile to establish state residency.
NOTE: The test looks at all the facts and circumstances and often, like in this case, there are bases either way- however, since she was not your dependent, it would be more difficult to show she made the move with you to New Jersey.
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