In the case of Pearce & Another v. Ham, the Supreme Court of the United States was asked to decide whether a state court had the authority to issue an injunction against a party who had already been convicted of a crime in a federal court. The case arose when the plaintiff, Pearce, was convicted of a crime in a federal court and sentenced to a term of imprisonment. The state court then issued an injunction against Pearce, prohibiting him from engaging in certain activities while he was in prison. The Supreme Court held that the state court did not have the authority to issue the injunction. The Court reasoned that the federal court had already convicted Pearce and imposed a sentence, and that the state court could not interfere with the federal court's judgment. The Court further held that the state court's injunction was an attempt to modify the federal court's judgment, which was beyond the state court's authority. The Court's decision in Pearce & Another v. Ham established that state courts cannot interfere with the judgments of federal courts. This decision has been cited in numerous subsequent cases, and it remains an important precedent in the area of federal-state relations.

In the case of Pearce & Another v. Ham, the Supreme Court was asked to decide whether a judgment in favor of one party could be enforced against another party who had not been named as a defendant in the original action. The majority opinion held that such judgments were enforceable, but Justice Field dissented from this ruling and argued that it would lead to injustice for those who are unaware they are being sued or have no opportunity to defend themselves. He reasoned that allowing enforcement of judgments against parties not originally named as defendants would violate due process by depriving them of their right to notice and an opportunity for defense before any judgment is rendered. Furthermore, he noted that there was nothing in existing law which supported such a practice; instead, he believed it should only be allowed when all parties involved had received proper notice and an opportunity for defense prior to any judgement being made.