Texas Civil Practice and Remedies Code - CIV PRAC & REM § 43.003. Priority of Execution

(1) against the principal's property located in the county where the judgment was granted;

(2) if the sheriff cannot find enough of the principal's property in that county to satisfy the execution, against as much of the principal's property as the sheriff finds;  and

(3) against as much of the surety's property as is necessary to make up the balance of the amount shown in the writ of execution.