FOND THESE COPPER BUTTONS THE TWO ARE SMOOTH WITH NOTHING ON THEM AND THE ONE HAS RA AND UNDER IT HAS A 2 WITH STARS AROUND IT I THIMK IT MIGHT BE MILITARY
What you have there is a Regiment Of Artillerists 2nd Regiment button from 1811-1813. Listed in Alberts Button Book as AY33. Excellent find! Be very carefull cleaning it, you don't want to over clean it, just remove the dirt.
Thanks for sharing I hope you can find more at that site.
Steve