Kansa listed as "Hutanga (Kanza)" (in Kansas), Osage listed as "Niukonska (Osage)" (in Oklahoma), Wichita listed as "Kitikiti'sh (Wichita)" (in Texas) — all three that you mentioned are present on the map.
I wouldn't be surprised if the mapmaker had a source indicating that each of those groups had lived in the place indicated during some pre-contact period. But especially without choosing a date for the map, it's tough to say what the "traditional" or "original" location should mean.