They Came to Cordura (1959)

After a cavalry charge during the 1916 U.S. "war against Pancho Villa," unheroic awards officer Tom Thorn (who is obsessed with the nature of courage) recommends 4 men for the Medal of Honor. He is ordered back to Cordura with them...and prisoner Adelaide Geary, gringo who sheltered the enemy. On the arduous journey, Thorn's heroes show a different face, and Thorn may have one last chance to prove he's no coward.