Dear Ms. Streng,
Thank you for posting your request on History Hub!
According to Article 17 of the Treaty of 1866 with the Cherokee (see pp. 799-809), the Cherokee Strip in southern Kansas was ceded to the United States. The Cherokee were not paid for it and any money from the subsequent sale went to the United States.
We suggest that you should contact the Center for Legislative Archives (LL) if you are searching for information about the larger Cherokee Outlet, sometimes called the Cherokee Strip, rather than searching through Bureau of Indian Affairs (BIA) records for that time period. Please see An act making appropriations for current and contingent expenses, and fulfilling treaty stipulations with Indian tribes (fiscal year ending June 30, 1894) and scroll down to page 640 in the records of the 52nd Congress and that read in 1893 Congress approved the payment of $295,736 and $8,300,000 for the Cherokee Outlet. This first sum to be paid, then the second broken into five installments paid yearly starting March 4, 1895. For access to and/or copies, please contact LL at email@example.com. Also see Research Our Records: Center for Legislative Archives for more information.
We also suggest that you search Cherokee Outlet; Cherokee Strip (Kansas); Allotment: The Encyclopedia of Oklahoma History and Culture; Newspaper Articles about the Cherokee Commission and Cherokee Commission for additional information.
We hope this is helpful. Best of luck with your research!