I think there is video of the woman being shot in the Capitol.

The video flashed by on MSNBC showing a male with a helmet smashing the windows of one of the chamber doors. He smashes all the windows out, as the last window falls back toward the rioters the group moves back slightly, then you see a large colorful duffle bag being pushed through one of the windows. There is a shot, the bag falls back into the group and several people look down and the camera pans down and a woman with long brown curly hair is laying on the ground. The group starts to move her back and the video cuts away. Looks to me like the folks in that room thought a bomb was being pushed into the chamber and reacted to protect everyone in that room.

Edit: It appears that instead of a bag being pushed through the window, the woman was trying to climb through the window and was shot.