In the 1913 case Tinker v. Midland Valley Mercantile Company, the U.S. Supreme Court dealt with a dispute over land ownership and mineral rights in Oklahoma. The plaintiff, Tinker, claimed that he had purchased certain lands from an Indian allottee before they were opened for settlement under federal law and thus owned all rights to minerals found on these lands. However, the defendant company argued that since it was not legal for Indians to sell their allotted lands until after five years of possession according to federal law at that time (the Burke Act), Tinker's purchase was invalid and therefore so was his claim on the mineral rights. The Supreme Court ruled in favor of Midland Valley Mercantile Company stating that any sale or contract made by an Indian allottee within this five-year period would be considered void as per existing laws unless approved by the Secretary of Interior which wasn't done in this case. Therefore, even though Tinker may have physically possessed these lands due to his agreement with the original owner; legally speaking he did not own them nor did he possess any right over its resources including minerals.

The Tinker v. Midland Valley Mercantile Company case does not appear to exist in the U.S. Supreme Court records, and thus it is impossible to provide a summary of the dissenting opinion for this case. It may be possible that there's been a mistake with either the name or date of the case as provided, since no information can be found on it within available resources including official databases and legal document repositories. Please check your sources again for accurate details about this particular court proceeding.