1847 Roger Brothers XS Triple grape pattern silverware was produced between 1902 to 1918. This high quality, heavily silver plated flatware is still popular with collectors. As it is plated, it is not as valuable as sterling, so I would not take it to an appraiser. That would not be cost effective.
Value depends on condition and availability of each piece. Teaspoons, serving forks, berry spoons and other special products are more valuable than typical forks, spoons, and knives.
To see what your pieces are currently selling for, check out an online site that sells antique silverware. I have seen teaspoons forks, and knives offered for between $1.50 and $7.00. The specialty utensils are worth much more.