Any person or corporation feeling aggrieved by reason of any registration fee, franchise tax, charter tax, entrance fee, license tax, fee or charge assessed or imposed by or under authority of the State Corporation Commission against and collected from any corporation, domestic or foreign, or any fee paid under the provisions of Chapter 5 (§ 13.1-501 et seq.) of Title 13.1, may, unless and except as otherwise specifically provided, within one year from the date of the payment of any such tax, fee or charge, apply to the State Corporation Commission for a correction of such assessment or charge and for a refund, in whole or in part, of the tax, fee or charge so assessed or imposed and paid. No payment shall be recovered after a formal adjudication in a proceeding in which the right of appeal existed and was not taken. Such application shall be by written petition, in duplicate and verified by affidavit. Such application shall be filed with the Commission and shall set forth the names and addresses of every party in interest.