Oldest "highway" map of Kansas I have ever come across:
http://www.kchistory.org/cdm4/document.php?CISOROOT=/Maps&CISOPTR=1677&REC=8
The numbers on the roads correspond to their designations at bottom of map. They weren't actually signed with those numbers.
I was hoping to see K-11 coming down through Elk County.
Here's a map with K-11, also has K-36 which I had not seen before as a predecessor to present US 160. Note US 160 along present US 166 from Baxter Springs to at least Coffeyville, maybe Caney.
http://historicalroadmaps.com/KansasPage/1926ClasonsKansasPage/image1.html
It looks like K-11 ended at the town of Chautauqua, just south of Sedan.
1930 Oklahoma Highway Map:
http://www.okladot.state.ok.us/hqdiv/p-r-div/maps/state-maps/pdfs/1930.pdf
K-11 ends at Sedan, Chautauqua, or maybe Elgin. No corresponding route south to Pawhuska. US 160 is K-12, US 166 is labeled east of Caney, but no label on that route from Caney to Caldwell.