I don't know about a grave. Try findagrave.com as there are many burials listed there.
This guy "may" be your Arthur but he is incorrectly (?) listed as CRUKFIELD in this War of 1812 muster roll.
My ancestor James SUIT was in the same company.
Go to this link and scroll down to page 6. It is a muster roll for a Spy Company in the War of 1812 and he is listed on this. Maybe you recognize some names on it. My ancestor was from St. Marys Co. MD and there was also a John Suit on the same roster who I am fairly sure was his brother.