Fireplace going in

Here is a picture of the fireplace going in. I helped push it into the opening :). I talked to the installers about running a second flue down the area to the left of the fireplace. They said there should be room for that to the left, however I wonder if there is drywall in the chimney to the left... I thought there would be drywall all the way up the chimney, but now it doesn't appear that way.