And, thanks to Kees, and to Steve of the
Scientific American Past website, we now have a scan of the 1904 article. Here's a better view of the photo:
The text for the article is fairly dry, and unfortunately does not cast much light onto the story of Prof Botts or of his flying machine. The article ends stating that the Professor intends on taking his machine to the 1904 St. Louis World's Fair and entering the aeronautical competitions there.
Kudos to Kees and Steve for the scan.
Cheers,
Paul