Well done Trev. Yes, it's a Taperstick.
Used for melting sealing wax for letters.
Also called a "Tobacco Candlestick". These were often used to light smoking pipes.
http://www.theassayoffice.co.uk/newsmay08_silver.html" onclick="window.open(this.href);return false;
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 ?
Pat.
.