The department is responsible for maintaining the filed records for each Probate Court case. The clerk also attends each court docket in support of the court.How to fill out the Harris County Probate Court Will Submission Form? 1. Enter the docket number and name of the deceased. 2. Harris County Clerk's Office. New online service to purchase certified copies of Birth Certificates is now available. Position 12: Harris County Commissioners Court shall appoint a director that is not a resident of City Houston and is a representative of industry. Forms. For convenience, the following forms are available for downloading, printing and completing. NOTE: This application is for attorneys who are not currently approved for felony appointments in the. Harris County District Courts Trying Criminal Cases.