Vintage Sterling Silver 925 Tone 3-Arm Candelabra Candle Holder Victorian Fancy
three-light convertible sterling silver candelabra. It features removable or adjustable upper arms that allow you to use it as a multi-candle centerpiece or separate it to serve as a single candlestick. 
To confirm if your specific piece is true sterling silver, you will need to examine the metal closely:
Check the base or underside: Flip the piece over. Look closely around the rim of the bottom felt or metal lining. True sterling silver items made in the United States or England will explicitly be stamped with the word "Sterling", the number "925", or a specific set of silversmith hallmarks.
Look for "Weighted" or "Reinforced": Many candelabras from this era have hollow sterling tops but a base filled with wax, cement, or pitch to keep them stable. If it is sterling, it will often say something like "Sterling Weighted" or "Sterling Reinforced" stamped on the bottom.