Final answer:
Kansas did not apply for statehood in 1819. Missouri, Mississippi, Illinois, Indiana, and Louisiana were among the states that did during this period of U.S. westward expansion.
Step-by-step explanation:
The state that did not apply for statehood in 1819 was Kansas. During this period, several states were admitted to the Union as part of the westward expansion of the United States. The states that did apply and were granted statehood around this time were Missouri, Mississippi, Illinois, Indiana, and Louisiana. However, Kansas was not part of this group seeking statehood during 1819, as it was still considered unorganized territory and wouldn't become a state until January 29, 1861.