I'm not sure what you mean by residual income, but if you earn income in a state other than your home state, you will owe tax in both the state you worked in and your home state.
You will get a credit in your home state for the taxes paid in the other state up to the amount of the home state tax accessed.
Example: Your home state is (A), the state you worked in is (B).
- You earn $10,000 in state (B).
- State (B)'s tax is $600.
- State (A)'s tax on $10,000 is $500.
- You would get a credit of $500 on your State (A) taxes
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