An application for a Writ of Habeas Corpus is filed when a person seeks relief from unlawful detention or imprisonment. Mail the completed petition and one copy to the U. S. District Clerk.Choose one: Check (1) if you are claiming superior rights under a court order. Petition Under 28 U.S.C. § 2254 for a Writ of Habeas Corpus. Unlike direct appeals, there is no deadline for filing a writ in the Texan state courts. To learn more about Houston writs of habeas corpus, read more here. The following forms are available for downloading, printing and completing. In this application form: 1. Our negotiations and settlements experience can significantly impact your case. Call our Houston writs of habeas corpus attorneys at 936-647-1540.