Yes Cheryl, it's a Brandy warmer.
The heating device can be an alcohol burner or a candle.
Here's some silverplate examples from Leonard's 1981 catalog ( after they became part of Towle ):
Follow-up question: What is another name for a brandy glass ?
I've just been informed, from a reliable source, that there are 3 other names for a Brandy glass. What are they ?
Pat.
.