You're welcome. In the photo, your button looks grey-ish, and is uncleaned, so I can't be certain whether it has "black finish" on its front, or not. If it does, it is World War One to 1923.
BigCypressHunter's list of Great Seal backmarks mentions that a Great Seal button with the "Jewelers Products Corp. Prov. RI" backmark was found on a World War One battlefield in France.