Here's a related item by Samuel Wood, London, 1744. It is 3.375 inches ( 8.6 cm.) high. The diameter of the base is 2.875 inches ( 7.3 cm.). What was it called ?
Samuel Wood's piece is called a "bougie box". Derived from the French "bougie" which meant candle. In turn derived from B(o)ugia, the Algerian town which exported the wax.
The box holds a taper coil. Also called a "Taper-box".