The word driver is more general - anybody who drives a vehicle is a driver. You are a driver when you are driving your car. Some people work as bus drivers and taxi drivers (the drivers of trains are usually called conductors).
A chauffeur is a person who is employed to drive a car for a private individual. Rich people and celebrities often have chauffeurs so that they do not have to take public transportation, or drive themselves.
All chauffeurs are also drivers; not all drivers are chauffeurs.
This Belle Epoque bag from 1911 (soon to be auctioned atChristies) is made of platinum mesh and decorated with a diamond monogram. The frame shape is a natural evolution from the reticules of the 19th century, drawstring fabric handbags popularized by Empress Josephine.