To determine values of F. B. Rogers silver items, visit a silver collector's website, such as Replacement Ltd.. You can also peruse the F. B. Rogers page on eBay to get an idea of prices for comparable items, or join a forum at Collector's Weekly to communicate with silver enthusiasts.
Most pieces by the F. B. Rogers company are silver plated, rather than sterling. The firm specialized in mass producing lower cost items for everyday use. Many of these pieces are still readily available for purchase at antique malls, estate sales and second-hand stores. However, the collectible value is generally fairly low.