Linked by Meade in the comments to "An affected or simpering smile; a silly, conceited, smiling look," which is a post about the criticism of the smile — the "smirk" — on the face of the Covington Catholic schoolboy Nick Sandmann.
Sandmann is smiling, but it's not a natural, happy smile, because — as he wrote in his statement — he was anxious and trying to express that he "was not going to become angry, intimidated or be provoked into a larger confrontation." So that's just about exactly the the position of Gary Cooper's interlocutor. Cooper ("The Virginian") says, "If you want to call me that, smile." And Walter Huston ("Trampas") smiles non-naturally and anxiously, as he says, "With a gun against my belly, I always smile."
When I think of a person who is smiling when he is not in a condition of relaxed happiness, I think of the beautiful Charlie Chaplin song "Smile" — sung with unearthly warmth by Nat King Cole:
Smile, though your heart is achingADDED: I think Bob Dylan was influenced by "The Virginian" when he wrote "The Ballad Of Frankie Lee And Judas Priest":
Smile, even though it's breaking
When there are clouds in the sky
You'll get by...
“Eternity?” said Frankie Lee
With a voice as cold as ice
“That’s right,” said Judas Priest, “Eternity
Though you might call it ‘Paradise’”
“I don’t call it anything”
Said Frankie Lee with a smile
“All right,” said Judas Priest
“I’ll see you after a while”
