Rogers, Smith and Co. silver was produced in Meridian Connecticut from 1877 - 1904. The company was started in 1858 by William Rogers and George Smith but the works were bought in 1862 and used as a trademark of Meridian Britannia Co. Quadruple refers to a silver plate that contains 8 troy ounces of silver as opposed to the 2 troy ounces in standard silver plate. It was popular in the late 1800s and was cheaper than sterling but more durable than standard silver plate.
Silver-plated goods sell for very low prices while sterling silver is more valuable. The products of Rogers and Smith were very attractive and may sell for a bit more. Also, silver plate rarely stands the test of time, so if your silver plate is in very good condition, it will be worth more considering it is Victorian. Sadly, Victorian goods, in general, are not trending in today's market.
The value of your silver depends on what you have. I saw a full tea set going for about $100.00 on eBay. Of course, a single teapot or sugar bowl would go for much less. Shop around and take a look at sold prices to get an idea of how much you could get from a sale. If you are looking to value the silver plate for insurance purposes, you can check Kovels or Replacements for replacement value which is not the same as what you would earn selling it.