Based on the dates given, the order in which these events in U.S. History happened were:
Lonestar republic 1845.
Oregon territory 1846.
Disputed Texas territory 1848.
Mexican Cession 1848.
Gadsden Purchase 1853.
<h3>How were some states added to the United States?</h3>
After gaining independence from Mexico, the Lonestar Republic of Texas joined the Union in 1845. This was followed by the Oregon territory acquisition in 1848.
Mexico then ceded a lot of territory to the United States in February 1848 after which the Gadsden Purchase then added more territory in 1853.
