It shall be the duty of the county assessor of any county embracing the whole or any part of an irrigation district to enter upon his tax roll each year, the name of the owner, description and area of each tract of land in said district, in said county, subject to taxation under this act, and to deliver a certified list thereof to the county commissioners of said county and to transmit a like certified list to the secretary of said irrigation district on or before July 1st of each year. If the board of directors has exempted any lands from taxation, in whole or in part, or if the secretary of the interior has taken similar action pursuant to contract with the district, or if any tract is entitled to credit upon assessments by reason of payments to any water users’ association also, under the provisions of Section 21 [73-11-29 N.M. Stat. Ann.] of said Chapter 20, or any amendment thereof, or if there be drainage assessments judiciously confirmed as in this act provided or awards for damages due to drainage or other work pursuant to Section 20 [73-11-12 N.M. Stat. Ann.] of said Chapter 20, the secretary of the district shall note such exemptions, credits and drainage assessments and awards for each tract upon the certified list furnished by the assessor as in this section provided, and the said list, together with the items prescribed in said Section 21 [73-11-29 N.M. Stat. Ann.], or any amendment thereof, shall be delivered to the county commissioners of the county in which the office of the said irrigation district is located within sixty days from and after the receipt of such certified list by the secretary of such district.