Hi addamsruspipe,
I can add a bit more. First, "Rodgers" is a misspelling; it was always spelled "Rogers". Three generations of the Rogers family ran one of the leading importers of pipes (including Petersons for a number of years) and resellers of pipes and smokers articles; they also did a bit of manufacturing. The name of the company was Rogers Imports, Inc.
Second, for several reasons I also believe that Rogers Rarity pipes were made for Rogers Imports by CustomBilt.
The Rogers Rarity line was introduced by the company in late 1945. The advertising copy from the spring of 1946 described Rogers Rarity pipes as "The height of pipe luxury and enjoyment", and claimed that they were "Carved by hand of Algerian bruyere over 150 years old". Was it true? I would guess not, but age fabrication regarding the briar from which pipes were made was a kind of industry trope for generations. While most of the Rarity pipes apparently sold for $5, the listed price range stated various models cost from $5-25. The $5 pipes were available in natural and grain finishes; there was also a $10 version called the Rogers Rarity Deluxe that was sterling banded and meerschaum lined.
I can't be sure when the line ceased production, but believe it was by the end of 1949. Certainly Rogers Rarity pipes are no longer listed in the RTDA Almanac from 1950 on, and mentions of the pipe in advertisements to consumers become thin on the ground. More tellingly newspaper ads from 1951 show the pipe heavily discounted, suggesting that excess inventory of an obsolete line was being flushed through the channel.
I therefore suspect that your pipe dates from between the end of 1945 and the end of 1949. For any pipe not explicitly date-coded (ala Dunhill or Parker) getting to a 4 year window of production represents a very successful outcome.
Rgds,
Jon
