98% probability that it's silver plated, here's how to check:
Wm Rogers is an American brand, and all solid silver flatware made in America after 1870 will say ".925" or "Sterling" on it. If you don't see either of these it's silverplated.
1847 rogers brothers were known for making silver plated silverware.
1000
NAICS Code 339912 (Silverware and Plated Ware Manufacturing)
It is siver plated unfortunately.
Rogers Bros xs triple is it silver or plated
Electro Plated
1947 Rogers Bros Silver Plated 56 Piece Utensil Set US$16.00
coated with silver 3 times but still only silver plated !
Plated
The Rogers Bros. silverware is silver plated flatware. IS means your set was made after Rogers Bros. was acquired by International Silver Company, around 1898.For more information see Related Links, below.
All Rogers items made in the 1881 line are plated. 1881 is the name of a group of silverware patterns, not the year it was made. Rogers did not make any sterling items in the 1881 pattern group.
The "1847" in 1847 Rogers signifies the year that the process of silver plating was discovered. Shortly thereafter Rogers Brothers began manufacturing silver plated wares.