Tex. Code Crim. Proc. art. 43.21
If the condemned escape after sentence and before his delivery to the Director of the Department of Corrections, and be not rearrested until after the time fixed for execution, any person may arrest and commit him to the jail of the county in which he was sentenced; and thereupon the court by whom the condemned was sentenced; either in term-time or vacation, on notice of such arrest being given by the sheriff, shall again appoint a time for the execution, not less than thirty days from such appointment, which appointment shall be by the clerk of said court immediately certified to the Director of the Department of Corrections and such clerk shall place such certificate in the hands of the sheriff, who shall deliver the same, together with the warrant aforesaid and the condemned person to the Director of the Department of Corrections, who shall receipt to the sheriff for the same and proceed at the appointed time to carry the sentence of death into execution as hereinabove provided.
Tex. Code Crim. Proc. § 43.21