I'm not very familiar with the Wright Brothers but understand they grew up and had a bicycle shop in Dayton Ohio. Davis Sewing Machine Co. was also in Dayton from 1890 to 1924. Davis made sewing machines, bicycles, iron castings and other stuff. My understanding is the Wright Bros, used some Davis bicycle parts in their bikes. Whether Davis made machine parts for Wright Bros airplanes I have not heard. I also haven't read anything about the Wright's using Davis sewing machines for airplane constuction. Certainly a possibility.
Jon