For your consideration, here is a Vintage White House Guest Sightseeing Litho Pinback Button Pin.  The button has very little wear on it.  It has a diameter of an inch. Item pictured is the actual item up for sale and comes from a non-smoking household. (165.271a-.3bx)

 

 

 

 

 

 

 

 

 

[Thanks for looking!]