In several other topics (Elgin Connection, Indian Country & Elk County in the Mid 1880's) various maps have been posted by myself and others. Some of these maps show a line that follows the present Kansas/Oklahoma border. This is the route of the 1857 Southern Kansas Boundary Survey. At least four accounts written by members of the expedition exist, one of which is titled The Southern Kansas Boundary Survey From the Journal of Hugh Campbell, Astronomical Computer
http://www.kancoll.org/khq/1937/37_4_caldwell.htm
The journal entries from June 14 to July 2 describe their time between the Verdigris and Arkansas Rivers westbound, and Oct 16 to Oct 22 estbound between the two rivers. Also the footnotes associated with the aforementioned dates includes a couple comments of note about the area.
Second account of the Survey, Surveying the Southern Boundary Line of Kansas: From the Private Journal of Col. Joseph E. Johnston
http://www.kancoll.org/khq/1932/32_2_miller.htm
Col. Johnston was in command of the expedition. His journal entries from June 18th to July 2nd and the accompanying footnotes describe his time between the Verdigris and Arkansas. His column took a more southerly route on the return trip and crossed the Arkansas near Red Rock Creek on Oct 15 then proceeded east, crossing the "California road" (Cherokee or Evans Trail) and the Verdigris near Coodys Bluff on Oct 25.
Map of the Survey, John F. Weyss. "Sketch of the Country near the Southern Boundary of Kansas
http://www.williamtalbot.com/catalog2007/7_33_weyss.html