After you download the free state program you will have to buy one of the state program download on one of the computers. Then you should be able to download it again to the other computer.
Download and install the states on one computer first. Then on the other computer download the same state for the free state. On the second computer you will have to start a new fake return to be able to download the free state and paid state programs.
After you have both states installed, you can copy the .tax2019 from one computer to the other.
