No, use her current address in TurboTax. The address on the W-2 is irrelevant, since many people move during the year.
She will file a Resident New Jersey return, reporting all her income there. NJ will give a credit for tax paid to New York.
She will file a Non-Resident return to New York (unless she lived there 184 days, which NY considers 'residency').
Here's more info on Filing as NJ Resident/NY Non-Resident.
@akrupitsky
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