David,
Welcome to the forum!
I'm unable to view the sample image (getting a timeout), so I'm not sure what you're running into, but one common problem is reflections from the room behind the camera superimposing over the landscape. If you can make the room darker than the outside, that will help (less reflected light to 'overwrite' the desired image). Getting the lens as close to the glass as possible, and keeping it close to perpendicular both reduce the area of reflection. I'd suggest making a mask out of black construction paper with a hole the size of your lens. Tape the mask to the window.
Another option is to use a polarizing filter on you G6--this may take some experimentation.