Texas Estates Code - EST § 361.154. Successor Executor Also Succeeds to Prior Rights and Duties

An executor who accepts appointment and qualifies after letters of administration have been granted on the estate shall, in the manner prescribed by Section 361.153, succeed to the previous administrator, and shall administer the estate as if the executor's administration were a continuation of the former administration, subject to any legal directions of the testator with respect to the estate that are contained in the will.