This picture is identified in the British Museum collection as Interior of a London Coffee-house. Anonymous. 1650-1750.Closeups from this and other images show some equipment in coffee houses of the period...
The pots by the fire with the water heating in the copper hot water boiler:
Cruikshank's sketch, 1810:
Colonial Williamsburg reproductions:
Pouring the coffee:
Coffee pot on the table by Rowlandson:
Coffee bar and clay pipes:
Bar, pots and hot water boiler from The Coffeehous Mob,1710: