Tex. R. Civ. P. 18
If the judge dies, resigns, or becomes unable to hold court during the session of court duly convened for the term, and the time provided by law for the holding of said court has not expired, such death, resignation, or inability on the part of the judge shall not operate to adjourn said court for the term, but such court shall be deemed to continue in session. If a successor to such judge shall qualify and assume office during the term, or if a judge be transferred to said district from some other judicial district, he may continue to hold said court for the term provided, and all motions undisposed of shall be heard and determined by him, and statements of facts and bills of exception shall be approved by him. If the time for holding such court expires before a successor shall qualify, and before a judge can be transferred to said district from some other judicial district, then all motions pending, including those for new trial, shall stand as continued in force until such successor has qualified and assumed office, or a judge has been transferred to said district who can hold said court, and thereupon such judge shall have power to act thereon at the succeeding term, or on an earlier day in vacation, on notice to all parties to the motion, and such orders shall have the same effect as if rendered in term time. The time for allowing statement of facts and bills of exception from such orders shall date from the time the motion was decided.
Tex. R. Civ. P. 18