Tim, I think they are feather holes. I have an old fowling piece with the two holes in the same position.
This rifle answered some questions I have had for many years. William Bartell, the multi talented son of a Hessian soldier captured at the battle of Black Mingo, S.C. kept a journal. In his journal he tells of building his "little rifle". He mentioned leaving his rifle with Capt. Murphy on his way to Kingstree, S. C., but no mention why. I was always curious about this. When I saw some photos by Chris Hirsh posted on the Bartell family site I felt it had to be for engraving. The engraving was excellent. The patchbox may have been by Murphy also. The photo was not clear on the box. When Walter told me about this rifle he had heard of, I was anxious to see it. He was able to get these photos. If you search for William Bartell rifle, you will see why he left his "little rifle" with Capt. Murphy. No doubt.
Bob