Summary

Joseph P. Bradley Hot Springs Cases Rector v. United States…

One of those conditions, as seen above, was, that no entry or sale of any land should be made which should have been reserved for the use of the United States, or either of the States. This very thing had been done by the reservation of the hot springs by the act of 1832. No vested right had accrued to Belding before that reservation, for the pre-emption act of 1830 did not extend to the lands in question until the passage of the act of July, 1832, even if a vested right could be set up against the government before entry and location.
Source: Wikisource

Joseph P. Bradley Hot Springs Cases Rector v. United States…

It is well known that the Territory purchased of the French government in 1803 was, in the following session of Congress, divided into two Territories: one called the Territory of Orleans, comprising West Florida and the present State of Louisiana; and the other, called the District of Louisiana, and comprising the whole region west of the Mississippi and north of that State. Act March 26, 1804 (2 Stat. 283) . The treaty by which this Territory was acquired, guaranteed, on the part of the United States, to the inhabitants the free enjoyment of their liberty, property, and religion.
Source: Wikisource

Joseph P. Bradley Hot Springs Cases Rector v. United States…

It was provided, however, that no person should be permitted to locate a greater quantity than he had before, except where that was less than one hundred and sixty acres, and, in no case, a greater quantity than six hundred and forty acres; and that, in every case where such location should be made according to the provisions of the act, the title of the person or persons to the land injured should revert to and become absolutely vested in the United States.
Source: Wikisource

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