There is at least one solo artist and two "rock" bands who have/had used this name. Brandon "Cochise" currently lives in Fort Collins, Colorado, where he makes insane amounts of music with his friends, and alone. He has music available on Patient Sounds.
http://patientsounds.blogspot.com As for the "rock" bands:
One is a british country rock band and the other appears to be german. The british band Cochise is perhaps most famous for having the great and still active pedal steel player BJ Cole in it's lineup.

Read more about Cochise on Last.fm.