http://imcdb.org/vehicles.php?make=Thomas+Flyer&model=

Far as I can tell, the make was just "Thomas" with "Flyer" being an appellation popularized by the 1907 Model 35 used in the 1908 New York to Paris race.

http://www.american-automobiles.com/Thomas-Flyer.html

http://digitalgallery.nypl.org/nypldigital/dgkeysearchresult.cfm?parent_id=45373- 0&word=