If any person or persons be of the opinion that the damages awarded him or them by the viewers are inadequate and insufficient, the board of county commissioners may agree with such person or persons upon the measure of the same, and should they fail to so agree such person or persons may appeal from the decision of the viewers to the district court of the county and evidence shall be taken before the court or a referee as in other cases and the court shall determine the amount of damages and render judgment accordingly.
NMS § 67-5-19