cough up

1.  Hand over or relinquish, especially money; pay up. For example, It's time the delinquent members coughed up their dues. [Slang; late 1800s]
2.  Confess or divulge, as in Pretty soon she'd cough up the whole story about last night. This idiom transfers the act of vomiting to telling the entire truth. [Slang; late 1800s]

The verb has 2 meanings:

Meaning #1: give reluctantly
  Synonyms: pony up, spit up

Meaning #2: discharge (phlegm or sputum) from the lungs and out of the mouth
  Synonyms: expectorate, cough out, spit up, spit out