In a multi-state unemployment claim, the state you currently live in is the agent state. The agent state is the one that manages your unemployment claim. You apply to that state for benefits, explaining that your 15 to 18 months of previous wages were in other states. Once the agent state hears back from those states, verifying your eligibility and compensation amounts, it distributes your payments. Therefore, what ever State actually "covered" this unemployment that was paid out to you is the State that you should have - or should be - received/receiving a 1099-G Unemployment Statement from. You would not pay taxes to more than one State for unemployment.
