A barouche is a large, open, four-wheeled carriage, both heavy and luxurious, drawn by two horses. It was fashionable throughout the 19th century. Its body provides seats for four passengers, two back-seat passengers vis-à-vis two behind the coachman's high box-seat. A leather roof can be raised to give back-seat passengers some protection from the weather.
President Lincoln's barouche
Royal barouche in London, 2009.
Note unprotected forward seats and lack of underperch in the barouche
White and black barouche at an exhibition in Nedelišće, Croatia
A carriage is a two- or four-wheeled horse-drawn vehicle for passengers. Second-hand private carriages were common public transport, the equivalent of modern cars used as taxis. Carriage suspensions are by leather strapping or, on those made in recent centuries, steel springs. Two-wheeled carriages are usually owner-driven.
A carriage in London
Competitive driving in Rennes, France
Coach of a noble family, c. 1870
Reconstruction of a Roman traveling carriage richly decorated with bronze fittings, Romisch-Germanisches Museum, Cologne