(a) The county clerk shall maintain a record book titled "Judge's Probate Docket" and shall record in the book:
(1) the name of each person with respect to whom, or with respect to whose estate, proceedings are commenced or sought to be commenced;
(2) the name of each executor, administrator, or applicant for letters testamentary or of administration;
(3) the date each original application for probate proceedings is filed;
(4) a notation of each order, judgment, decree, and proceeding that occurs in each estate, including the date it occurs; and
(5) the docket number of each estate as assigned under Subsection (b).
(b) The county clerk shall assign a docket number to each estate in the order proceedings are commenced.