In Kitchen v. Randolph, the Supreme Court of the United States was asked to decide 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 petitioner, Kitchen, had been convicted of a crime in the state of Virginia and was serving his sentence in a federal prison. He sought a writ of habeas corpus from the state court, arguing that his conviction was unconstitutional. 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 remedy available only to state prisoners, and that the state court did not have the authority to interfere with the federal government's power to imprison its own citizens. The Court also noted that the writ of habeas corpus was a remedy available only to those who had been convicted of a crime in the state in which the writ was sought. The Court's decision in Kitchen v. Randolph established that state courts do not have the authority to issue writs of habeas corpus to prisoners held in federal prisons. The decision also clarified the scope of the writ of habeas corpus, making it clear that it is a remedy available only to those who have been convicted of a crime in the state in which the writ is sought.

Justice Field delivered the dissenting opinion in Kitchen v. Randolph, arguing that the court should not have reversed a decision made by the Supreme Court of Arkansas. He argued that under Article IV Section 1 of the Constitution, states are guaranteed "full faith and credit" to each other's judicial proceedings. As such, he believed it was inappropriate for this court to interfere with decisions made by state courts on matters concerning their own citizens or laws unless there is clear evidence of an abuse of power or injustice done within those proceedings. Furthermore, Justice Field noted that even if there had been errors in judgement during these proceedings they were minor and did not warrant overturning a decision from another state's highest court as it would be setting a dangerous precedent for future cases involving similar issues between different states.