(a) The board of commissioners shall proceed to assess the lands within the district and shall inscribe in a book the description of each tract, piece, and parcel of land and assess the benefits to accrue to each tract, piece, and parcel of land by reason of such improvement and shall enter the assessment of benefits opposite the description thereof.
(b) The assessment shall embrace not merely the lands, but all public and corporate roads, railroads, tramroads, and other improvements on the lands that will be benefited by the improvement.
(c) They shall place opposite each tract, piece, and parcel of land the supposed name of the owner as shown by the last general assessment, but a mistake in name shall not vitiate the assessment. They may correct evident errors which occur in the county assessment list.