After the construction of said system of main ditches for said drainage district, all landowners in said district may construct branch or lateral drains, either open or tile, leading into said ditches and thereby drain their respective lands into said main outlet. In case any two or more landowners desiring to construct a branch or lateral ditch or drain to drain their lands cannot agree upon the just proportion to be borne by each, any one of them may petition the commissioners to lay out a branch ditch leading to and draining their lands; and the commissioners may proceed to lay out the same by giving notice and making assessments on the land in said subdistrict in the same manner in which they are herein required to give for the organization of the main district and assessment of the property benefited thereby.
Miss. Code § 51-31-75