No states so petitioned. They did give their ultimatum that said they wanted the federal government to reenslave blacks who were not subject to their southern states, and denied that the northern states had the authority to not enforce southern laws. That was part of their price of not-rebellion. Among other things.
Sans a petition, just how was this ultimatium requiring the federal government to re-enslave free blacks delivered? I don't recall any Southern state demand the re-enslavement of free blacks. It was the Constitution that the Southern states were requesting be upheld. It wasn't the Southern states that were disregarding the Constitution, it was the Northern states.