Texas Estates Code - EST § 51.053. Service by Posting

(a) The county clerk shall deliver the original and a copy of a citation or notice required to be posted to the sheriff or a constable of the county in which the proceeding is pending.  The sheriff or constable shall post the copy at the door of the county courthouse or the location in or near the courthouse where public notices are customarily posted.

(b) Citation or notice under this section must be posted for at least 10 days before the return day of the service, excluding the date of posting, except as provided by Section 51.102(b).  The date of service of citation or notice by posting is the date of posting.

(c) A sheriff or constable who posts a citation or notice under this section shall return the original citation or notice to the county clerk and state the date and location of the posting in a written return on the citation or notice.

(d) The method of service prescribed by this section applies when a personal representative is required or permitted to post a notice.  The notice must be: