Petition for Writ of Habeas Corpus. The procedure for filing a petition for a writ of habeas corpus is spelled out in the CPLR Article 70.For a Free Consultation, please fill out and submit the form below. Name Email Phone Message. Submit. First, a U.S.C. § 2254 allows us to file a petition for Habeas Corpus when the client is in custody under sentence of a state court and is in a state prison. The NhRP files a petition for a common law writ of habeas corpus in the New York Supreme Court, Orleans County. Holding: The Court of Appeals concluded that it did not because no charges were brought against Davis in the first Grand Jury. Intheblanks form authorizing a filing agent to efile documents on behalf of an individual attorney. The U.S. Supreme Court interprets the Constitution, which means it defines constitutional rights and violations in the cases it decides. The U.S. Supreme Court interprets the Constitution, which means it defines constitutional rights and violations in the cases it decides.