The chairman of the county commission shall likewise certify his findings on the triplicate petition stating the amount of money which the petitioner is entitled to receive from the county and from the county school and district school fund, and such petition with his certificate endorsed thereon he shall deliver to the petitioner, who may present a copy to the county commission; and, if said commission is satisfied with the proof of the claim made by the petition, the commission must allow said claims to the amount of taxes paid to the county and draw a warrant on the treasurer of the county for the amount allowed in favor of the petitioner, and the petitioner may likewise present a copy of such petition with the certificate of the chairman of the county commission endorsed thereon to the county board of education, and the fact of the allowance by the Comptroller and the county commission, and thereupon such county school board shall allow said claim to the amount of taxes paid to the county school fund and the district school fund and draw a warrant on the county treasurer of school funds for the amounts due from the county school fund and from the district school fund.