The police made the suspect 'cough up' the names of his accomplices.
They 'coughed up' [='lost, gave up'] the lead in the second half.
We had to 'cough up' an extra hundred dollars for the car rental.
(..) Oh, no, Shrek's gonna die. - Donkey, I'm okay. - You can't do this to me. I'm too young foryou to die. Keep your legs elevated. Turn your head and cough. - Does anyone know the Heimlich? - Donkey! Calm down. Ifyou want to help Shrek, run into the woods and fiind me (..)2001 Shrek