Firefight East is, according to the in-game compass, right in the middle of the south end of the Hideout map.
Firefight West is just to the north of Firefight East pretty much in the dead center of the map.
To make your names make sense, do this:
- Rename Firefight East to Firefight South.
- Rename Firefight West to Firefight North.
Edit: Here are the Firefight maps laid over the entire Hideout bird's eye view...