It's pretty obvious that the characters of Clint Barton and Natasha Romanov in the Marvel Cinematic Universe are playing the characters Hawkeye and Black Widow, respectively. Outside of the movies, fans routinely refer to them as such, and even Marvel talks about a "Black Widow movie".
But, within the films themselves, has anyone ever referred to any of the S.H.I.E.L.D. agents that have comic book nicknames using those aliases? This would include people like:
- Clint Barton - Hawkeye
- Natasha Romanov - Black Widow
- Bobbi Morse - Mockingbird
- Phil Coulson - Cheese
Similarly, has the name "Black Widow Program" or "Red Room" ever been used to refer to the training program that gave Natasha Romanov her alias in the first place (e.g. when it showed up in Agent Carter)?
NOTE: I know that, in the beginning of The Avengers, Barton is referred to as "the hawk", but I believe this was intended not as a code name, but as a simple moniker, referring to his habit of perching in the rafters. I'm looking for cases where he was identified by name as "Hawkeye".