The 1881 ®ROGERS® trademark was filed in 1910 by Wm. A Rogers Ltd. The ‘1881’ date doesn’t relate to year of production… I believe it stems from the historic date when the Rogers & Spurr Mfg. Co. was sued by the William Rogers Mfg. Co. for ‘fraudulent use’ of the ‘Rogers’ name.
I couldn’t find that pattern listed in the old Rogers pattern books, but the company was bought by Oneida in 1929 and they continued using the 1881 ®ROGERS® trademark through until the 1990s, with the mark finally expiring in 2005. I think the pattern is probably relatively modern, from the time when Oneida were using the mark. Some of these also carry the Oneida name, and some not. These later patterns are both numerous and not well documented, some of them being ‘exclusives’ produced for particular retailers.