A writ of habeas corpus is an order from a court to an official to produce an inmate. A case in which the Court held that a timely Rule 59(e) motion to "amend or alter" a habeas court's judgment is not a second or successive habeas petition.He further stated that retribution had already been accomplished in Lackey's case because of "the severe punishment already inflicted. On Application For Original Writ of Habeas Corpus, In Cause No. W219-81215-91, appeal from the 199th District Court, Collin County. In this blog, we at The Blacknall Firm will break down the complexities of using habeas corpus in child custody disputes. The writ of habeas corpus is the remedy to be used when any person is restrained in his liberty. Federal habeas corpus is a procedure under which a federal court may review the legality of an individual's incarceration. As such, the defendant requests that the death sentence be vacated or that this Court order that any execution be stayed. CASE NO. Capital Postconviction Case. Petition Under 28 U.S.C. § 2254 for a Writ of Habeas Corpus.