I can't tell from the head badge photo if the frame has holes aligning with the badge holes, or if the badge holes are just counter sunk. If there are matching frame holes, there could be any number of reasons why the badge was unscrewed and just glued back on. 1895 seems very right for the bike. I'd suggest some solvent and gently prying the badge off to see if there is a "ghost" in the paint. "Road Racer" doesn't exactly describe the bicycle type, but I've seen far odder names.