When a family of four is moving overseas for employment purposes, they sell their house in advance of the move. The house is in Colorado. They close on the contract December 24th 2016, severing all ties to the property, and transport themselves and their belongings to Ohio. In Ohio, they put their belongings in storage with a family member. Over the next month, they stay and visit with multiple family members around Ohio. Three of the family members are continuously in Ohio for that month. The fourth travels back to Colorado for 10 days in the middle of the month to complete employment obligations and stays with a friend. By some arrangement, two of the family's salary-earners are paid from employers in Colorado for the month of January 2017. On January 25th, all family members depart the US for their new home abroad, staying abroad for 3 years. During their time abroad, all mail is routed to an address in Ohio.
Excepting the last week of 2016, residency for 2016 is clearly the address in Colorado. What is their residency the rest of the time? And what will it be for the purposes of state and federal taxation while they are abroad?

