In its various purchases from the Indians, the Government of the United States, in seeking to quiet these conflicting territorial claims, have not unfrequently been compelled to accept from two, and even three, different tribes separate relinquishments of their respective rights, titles, and claims to the same section of country.  Under such circumstances it can readily be seen, what difficulties would attend a clear exhibition upon a single map of these various coincident and overlapping strips of territory.  The State of Illinois affords an excellent illustration.  The conflicting cessions in that State may be briefly enumerated as follows: 

1.  The cession at the mouth of Chicago River, by treaty of August 3, 1795, was also included within the limits of a subsequent cession made by treaty of August 24, 1816, with the Ottawas, Chippewas, and Pottawatomies.

2.  The cession at the mouth of the Illinois River, by treaty of 1795, was overlapped by the Kaskaskia cession of 1803, again by the Sac and Fox cession of 1804, and a third time by the Kickapoo cession of 1819.

3.  The cession at “Old Peoria Fort, or village,” by treaty of 1795, was also overlapped in like manner with the last preceding one.

4.  The cessions of 1795 at Fort Massac and at Great Salt Spring are within the subsequent cession by the Kaskaskias of 1803.

5.  The cession of August 13, 1803, by the Kaskaskias, as ratified and enlarged by the Kaskaskias and Peorias September 25, 1818, overlaps the several sessions by previous treaty of 1795 at the mouth of the Illinois River, at Great Salt Spring, at Fort Massac, and at Old Peoria Fort, and is in turn overlapped by subsequent cessions of July 30, and August 30, 1819, by the Kickapoos and by the Pottawatomie cession of October 20, 1832.

6.  The Sac and Fox cession of November 3, 1804 (partly in Missouri and Wisconsin) overlaps the cessions of 1795 at the mouth of the Illinois River and at Old Peoria Fort.  It is overlapped by two Chippewa, Ottawa, and Pottawatomie cessions of July 29, 1829, the Winnebago cessions of August 1, 1829, and September 1, 1832, and by the Chippewa, Ottawa, and Pottawatomie cession of September 26, 1833.

7.  The Piankeshaw cession of December 30, 1805, is overlapped by the Kickapoo cession of 1819.

8.  The Ottawa, Chippewa, and Pottawatomie cession of August 24, 1816, overlaps the cession of 1795 around Chicago.

9.  The cession of October 2, 1818, by the Pottawatomies (partly in Indiana), is overlapped by the subsequent cession of 1819, by the Kickapoos.

10.  The combined cessions of July 30, and August 30, 1819, by the Kickapoos (partly in Indiana), overlap the cessions of 1795 at the mouth of the Illinois River and at Old Fort Peoria; also the Kaskaskia and Peoria cessions of 1803 and 1818, the Piankeshaw cession of 1805, and the Pottawatomie cession of October 2, 1818, and are overlapped by the subsequent Pottawatomie cession of October 20, 1832.