It's a Wright Brothers bicycle. The first model.

From wright-brothers.org:


In late 1895, the Wrights began to make preparations to manufacture their own bicycles. They introduced the "Van Cleve" on April 24, 1896. The Van Cleves had been among Dayton's first settlers and were ancestors of the Wrights. Later in the year, the Wrights introduced a second, less expensive model called the "St. Clair." Again, the name was drawn from local history; Arthur St. Clair had been the first president of the Northwest Territory, which later became Ohio, Indiana, and Illinois.

The Van Cleve was mostly hand made with a choice of handlebars, metal or wood rims, and single tube or double-tube pneumatic tires. The St. Clair was largely built up from high-quality parts that were available through many sources such as the Davis Sewing Machine Company of Dayton, OH (which later became the Huffy Corporation) and Pope Manufacturing of Boston, MA.