Whenever an error is found in the assessment, computation, or calculation of the amount of ad valorem taxes, penalties, or fees due thereon; or any mechanical error is found in the tax return, listing, and valuing of property upon assessments legally made or upon collections based thereon; the official charged with assessing and/or collecting such taxes, penalties, or fees is hereby authorized to correct the same in his records; provided, however, he shall file in the record the proper evidence to support his action. In the case of a tax assessor, he shall immediately certify same to the tax collector for collection, or if a refund of taxes is due, the tax collector shall refund said taxes out of the next moneys collected. In the case where the same official assesses and collects the taxes, he shall make the corrections herein authorized and collect any additional sums due, or if a refund of taxes is due, he shall make such refund out of the next moneys collected. Provided further, that the taxpayer shall furnish proof of such payment to the satisfaction of such official within two years from the date of such payment.