Hill v. Harding was a United States Supreme Court case that dealt with the issue of whether a state court had the authority to issue a writ of habeas corpus to a prisoner who was being held in a federal prison. The case arose when a prisoner, Hill, was held in a federal prison in the state of Tennessee. Hill sought a writ of habeas corpus from the state court, claiming that he was being held in violation of his constitutional rights. The state court granted the writ, and the federal government appealed the decision to the Supreme Court. The Supreme Court held that the state court did not have the authority to issue a writ of habeas corpus to a prisoner held in a federal prison. The Court reasoned that the writ of habeas corpus was a federal remedy, and that the state court did not have the power to interfere with the federal government's authority to imprison individuals. The Court also noted that the writ of habeas corpus was a remedy that could only be used to challenge the legality of a person's detention, and not to challenge the conditions of the detention. In conclusion, the Supreme Court held that the state court did not have the authority to issue a writ of habeas corpus to a prisoner held in a federal prison. The Court reasoned that the writ of habeas corpus was a federal remedy, and that the state court did not have the power to interfere with the federal government's authority to imprison individuals.

Justice Field delivered the dissenting opinion in Hill v. Harding, arguing that the court should not have reversed the decision of the Supreme Court of California. He argued that there was no error committed by either party and thus, it would be improper for a federal court to overturn a state's ruling on matters concerning its own laws and regulations. Justice Field further noted that Congress had never intended for such an action to take place as it could potentially undermine states' rights and cause confusion among citizens who may not understand why their local courts were overruled by those at a higher level. Furthermore, he argued that this case did not present any new questions or issues which required federal intervention; rather, all parties involved agreed upon facts which only needed interpretation according to existing law. Thus, Justice Field concluded his dissent with an appeal for judicial restraint when considering cases involving state law so as to preserve both national unity and respect between different levels of government within our nation's legal system.