WALLACE: This is the manufacturer's mark. Wallace Silversmiths is a well-known, historic American silver company that was founded in the 19th century. The symbol above the name is their maker's mark (a "W" incorporated with a stylized design).
STERLING: This indicates the purity of the silver used on the exterior. Sterling silver is an alloy made of 92.5% pure silver and 7.5% other metals (usually copper) for strength.
4488: This is the specific model, shape, or pattern number assigned by Wallace to identify this particular candle holder design.
WEIGHTED REINFORCED: This is the most critical piece of information for understanding the item's composition and value. It means the entire candlestick is not solid silver. Because sterling silver is a soft metal, a solid silver candlestick of this size would be incredibly expensive and prone to denting. Instead, this piece is constructed using a thin outer "skin" of sterling silver formed around a core made of a heavy, non-precious material (typically pitch, wax, plaster, or cement) and reinforced with a metal rod. This gives the base stability so it won't easily tip over when holding a tall candle.