There was a British firearms maker by the name of William Moore. I believe he migrated to the state of New York in his latter years (Google info, no independent knowledge here!

). Then there was a company by the name of John P Moore &Sons -
http://www.lesserbooks.com/cgi-bin/lesser/18169.html- as best I can determine from that webpage. Perhaps RR Moore was part of that same family of gunmakers?