I've been abroad several years and have returned for half a year. In late June we arrived in the midwest. I spent about 6 weeks in OH (where I got a driver's license because my NJ was expired an couldn't be renewed). In August and early September we traveled. In late-September we arrived in NJ where we spent most of the fall/winter. My employing organization (which won't give tax advice) asks us all to pick a state of residence for when we return and they've been deducting NJ state taxes for us since late June.
Should I just be (1) filing NJ taxes covering the period from June on [when payroll deduction began], (2) be filing in NJ from our date of arrival in September, or (3) do I also need to file in OH? We don't have a high income (~$50,000) and do have several kids, so I don't anticipate taxes being much either way. When we were abroad, Ohio asked for a copy of federal returns (which showed we were foreign residents; we often use a mailing address with parents in OH when we are abroad).
Thank you all for your help! You've been a huge help on getting started on similar challenges.