I remember real reports from the time and they were horrific.
Yes, they surrounded the city and shot anyone trying to escape, even picking them off like fish in a barrel as they tried to swim to safetly across the Euphrates.

All the talk about religious fanatics in Iraq, well remember war criminal Lt Col Gary Brandl who led the first attack: "The enemy has got a face. He's called Satan. He's in Falluja. And we're going to destroy him."