Rogers & Co. made numerous silver tea sets. Most of these are silver plated. Most are from the 20th century. How do you know that yours is from 1886? Teapots are not usually dated. If it is sterling silver, it will be hallmarked with the word STERLING on the bottom and it is worth possibly $200-300 or even more, but if it is not, much less, depending on condition.
Harry Rogers Pratt was born in 1886.
Leslie Rogers Darr was born in 1886.
Dwight L. Rogers was born in 1886.
Erminnie A. Smith died in 1886.
Ashbel Smith died in 1886.
Seward Smith died in 1886.
Tiger Smith was born in 1886.
J. Hyatt Smith died in 1886.
Julia Evelina Smith died in 1886.
Forrest Smith was born on 1886-02-14.
Wib Smith was born on 1886-08-30.
Robert Smith-Barry was born in 1886.