Under the Homestead Act of 1862 and its revisions, over 1 million applicants received a plot of land from the Federal government.  Thousands of the homesteaders were women.   They were black and they were white.  Some were recent immigrants from Europe.   Some were looking for husbands, others had left husbands, or lost them to death, divorce, or desertion.  Quite a few had no interest at all in a husband.  But they all worked hard to "prove up" their homesteads.
And most of them realized that the land they were claiming had been home to Native people for centuries.