If within one year from the payment of any tax or penalty the payer or his or her executors, administrators, successors, or assigns shall make application for a refund, for the benefit of the person from whom the tax was collected, and the Clerk-Treasurer shall determine that the tax or penalty, or any portion thereof, was erroneously or illegally collected, and that it can and will be duly refunded to the persons from whom it was collected, the Clerk-Treasurer shall issue his or her certificate showing the amount erroneously or illegally collected, in duplicate, to the Clerk-Treasurer, who shall thereupon draw his or her warrant for the certified amount on the Clerk-Treasurer to the person entitled to the refund, out of the Admissions Tax Rotary Fund. For like cause and within the same period, a refund may be made on the initiative of the Clerk-Treasurer; but no refund shall be made of a tax or penalty paid pursuant to a determination of the Clerk-Treasurer as provided for in § 111.14, unless the Clerk-Treasurer, after a hearing as provided in that section, or on his or her own motion, shall have reduced the tax or penalty, or it shall have been established by an appeal to the Common Pleas Court of Hamilton County, Ohio, as provided in this section, that the determination was erroneous or illegal, in which event a refund shall be made as herein provided, upon the termination of the appeal. An application for a refund, made as herein provided, shall be deemed a petition for reassessment within the meaning of § 111.14 and the Clerk-Treasurer may receive additional evidence with respect thereto. After making his or her determination, the Clerk-Treasurer shall give notice thereof to the applicant and the applicant shall have the right to appeal as provided in § 111.14.