Texas Estates Code - EST § 1153.005. One Notice Sufficient;  Liability for Failure to Give Required Notice

(a) A guardian of an estate is not required to give a notice required by Section 1153.001 or 1153.003 if another person also appointed as guardian or a former guardian has given that notice.

(b) If the guardian fails to give a notice required by other sections of this title or to cause the notice to be given, the guardian and the sureties on the guardian's bond are liable for any damage a person suffers because of the neglect, unless it appears that the person otherwise had notice.