I came to this thread late as I think this is the first time I've wandered into this part of the forums, but I have a few comments which may be helpful or at least interesting.
There are a quite a few different variations of the Kodak folders that can use Autographic film. You are fortunate to have a take up spool and the stylus. Your camera was made for 116 format film, with the A-116 identifier, and was probably made sometime after 1919 based on the patent numbers. If you want to shoot with it you will have to go through some gymnastics with adapters to use current 120 film.
The particular lens on your camera will help to confirm the exact model. The Kodak Customer Support pamphlet AA-13 might also be a start to help identify your camera, and the Brownie Camera page has some info. The Butkus camera manual site has scans of many of the manuals. Depending on the size of the camera, I think you may have a Pocket Kodak.
http://www.brownie-camera.com/manuals/aa13.pdf
There has been mention earlier in the thread of light leaks, and it is important to check the bellows. In bright light covering the Autographic door with tape or shielding with your hand will help.
I have a 1A Autographic Junior that belonged to my grandfather, and some of the negatives shot on 116. Here's two of my favourite B&W negative scans circa 1916, one circa 1920 and a colour image from 1972 I captured when using the camera for a photography class. The black and white images are all unretouched and were some of my earliest scans before I had a properly sized holder.