Okla. Stat. tit. 4 § 136
The county sheriff shall make his assessment in writing and file the same with the county clerk, to be kept in his office. Any person aggrieved by the action of the county sheriff under this article, may appeal therefrom, to the district court. The person appealing shall file with the county sheriff a bond, in a penalty double the value of the property distrained, or if the value of the property exceed the amount of damage claimed, then in double the amount of damages, with good and sufficient sureties, to be approved by the county sheriff, and from and after the filing of the appeal bond, the same shall operate as a supersedeas. In case the owner of such stock be the appellant, the same shall be delivered to him. The county sheriff shall, after the appeal is taken, certify all the original papers in the case to the district court.
Okla. Stat. tit. 4, § 136