settler who claimed land through the homestead act

i think native americans

Sorry. The Native Americans weren't considered settlers under the Homestead Act.

One name given these settlers became the nickname for a state. Check this site for that name.

http://www.infoplease.com/ipa/A0108260.html

Under the Homestead Act of 1862, settlers were able to claim and acquire land in the United States. In order to be eligible for a homestead claim, individuals had to be at least 21 years old or the head of a household, a U.S. citizen or have filed a declaration of intention to become a citizen, and had to improve and cultivate the land within a set period of time.

The native Americans were not considered eligible for homestead claims under the Homestead Act. This act primarily targeted white settlers and immigrants coming from Europe to encourage westward migration and settlement of the frontier lands. Native Americans had their lands taken away through other means, such as treaties, reservations, and forced removal.

If you are looking for the nickname given to settlers who acquired land through the Homestead Act, you can visit the link provided in your question: http://www.infoplease.com/ipa/A0108260.html. This source should provide you with the answer you are looking for.