Tex. Code Crim. Proc. art. 23.16
Current with legislation from the 2023 Regular and Special Sessions signed by the Governor as of November 21, 2023.
In each capital case where a defendant is arrested under a capias in a county other than that in which the case is pending, the sheriff who arrests or to whom the defendant is delivered, shall convey him immediately to the county from which the capias issued and deliver him to the sheriff of such county.
Tex. Code Crim. Proc. § 23.16