Despite making hundreds (or thousands), there are only six known examples of Wright Brothers (Orville & Wilbur) Bicycles known to exist, and they are priceless. Keep that in mind when you make finds like this.
I have one that looks very close but there are a few subtle differences. Mine is an Ivanhoe Special built between 1895 and 1898. Looks like similar scroll work done, similar grips/handlebars/stem. Mine has a different set of seat stays and seat post. My post is just a "7" shape as opposed the "T" shape of yours. Our cranks are very different as well. Let me know if you need any more pics.