(a) On the death, resignation, incapacity, or removal of a sole or surviving trustee, a successor trustee shall be selected according to the method, if any, prescribed in the trust instrument. If for any reason a successor is not selected under the terms of the trust instrument, a court may and on petition of any interested person shall appoint a successor in whom the trust shall vest.
(b) If a vacancy occurs in the number of trustees originally appointed under a valid charitable trust agreement and the trust agreement does not provide for filling the vacancy, the remaining trustees may fill the vacancy by majority vote.
Official text of the Texas Property Code as published by the Texas Legislative Council.