N.M. Stat. § 73-8-59
["District" defined.]
The word "district" as used in this act [73-8-1 to 73-8-60 NMSA 1978] shall be held
to mean and include only the lands described in the official order establishing any
drainage district, and the official plat thereof of record in the office of the county clerk as
by this act hereinbefore provided and such other lands as may be subsequently
included in any such district in accordance with the provisions of this act.