James advertises “good accomodation for cyclists. This, and the attire in the photo can give us an idea of the year the photo of the Inn was taken and his business card was printed.
“The Penny Farthing is also referred to as the 'High' or 'Ordinary' bicycle, and the first one was invented in 1871 by British engineer, James Starley. The Penny Farthing came after the development of the 'Hobbyhorse', and the French 'Velocipede' or 'Boneshaker', all versions of early bikes. However, the Penny Farthing was the first really efficient bicycle, consisting of a small rear wheel and large front wheel pivoting on a simple tubular frame with tires of rubber.” quote from Mary Bellis at About.com.
From this we can assume that it took a few years for the bicycle to become a fashion so maybe mid 1880’s to about 1920 would be a rough guess. There is no mention of motor cars but the English were a little slow off the mark in that regard.