Section 18. The partition by division, when confirmed and established by a final decree under section sixteen, or the sale if partition is made by sale, shall be conclusive upon all persons named in the petition or interested in the land therein described who appeared in the case or who waived notice or assented in writing to the same, or to whom due notice was given in accordance with section six or eight, or who were represented as provided in section nine, and upon all persons claiming through or under them or any of them, and, if the common title is derived through the settlement of the estate of a deceased person in any probate court within the commonwealth, upon all the heirs and devisees of such deceased person to whom the notice aforesaid was given or who were so represented, and upon all persons claiming through or under them.