Sile was an importer based in NYC in the 60's and 70's and 80s. They also had a location in Meriden, CT for a long time and it was this location that serviced many of the firearms factories with wood. I worked at Mossberg at the time and we bought most of our birch stocks and forearms from SIle. Also they supplied Winchester, Savage and I believe Marlin.
If you have an early Krieghoff with the Red stock, you will find that these stocks were also marked SILE.
I don't know about Remington buying from them, but since Remington was based in Bridgeport, CT for a long time I would not doubt that Sile sold them too.
The owners name was Nick DeRobertis. They were also a distributor for most of the firearms companies as well and their location was on Centre Market Place next to the John Jovino Co. this was in the late 70s.