Texas Property Code - PROP § 181.083. Creating Additional Powers

(a) In exercising a power, a donee may make appointments that create in the objects of the power additional powers of appointment.  The additional powers of appointment must be exercisable in favor of objects of the power who would have been permissible objects under the original donee's power.

(b) In exercising a power, a donee who may appoint outright to an object of the power may make appointments that create in the object of the power powers exercisable in favor of persons that the original donee may direct, even though the objects of the secondary power of appointment may not have been permissible objects of the original donee's power.