In the case of Cross Lake Shooting and Fishing Club v. State of Louisiana, the Supreme Court dealt with a dispute over land ownership. The Cross Lake Shooting and Fishing Club claimed that they owned certain lands under Cross Lake in Louisiana due to their purchase from private individuals who had received patents for these lands from the United States government before 1842. However, the state argued that it held title to all submerged lands within its boundaries upon entering into statehood in 1812, regardless of any subsequent federal patents issued. The court sided with Louisiana, ruling that when a new territory becomes a state, it gains sovereignty over all navigable waters within its borders as well as soil beneath them up to high-water mark unless expressly stated otherwise by Congress at time of admission or afterwards through treaties or statutes. Therefore, despite having purchased rights from previous patent holders who were granted titles by federal authorities prior to 1842 (before this principle was established), the club did not have valid claim on disputed lakebed property because those original grants never legally included such underwater areas.

The dissenting opinion in the case of Cross Lake Shooting and Fishing Club v. State of Louisiana argued that the majority's decision was inconsistent with previous rulings on similar issues, particularly those involving property rights and public use. The dissenting justices believed that the state had overstepped its authority by claiming ownership over a privately owned lake without providing just compensation to its owners, which they saw as a violation of due process under the Fifth Amendment. They also disagreed with the majority's interpretation of what constitutes navigable waters, arguing that it was too broad and could potentially infrive upon private property rights in future cases. Furthermore, they contended that there were factual errors in how lower courts had handled this case which should have been corrected by Supreme Court review rather than being upheld.