Chenot is a very common name in France. There are hundreds of families with this name. You might be interested to see this chart from Geopatronyme that shows the locations of births of people with this name:http://www.geopatronyme.com/cgi-bin/carte/nomcarte.cgi?nom=C...
I also checked several indexes and books, and the website GeneaNet for you.
The name Chenot is very common in Lorraine (especially Meurthe-et-Moselle), Champagne, and Bretagne ("Brittany"), but I found no records at all in any of my sources that showed families named Chenot lived in the Alsace region.
Bonne quête !