The most common fraternal symbol you will find in cemeteries is that of the Freemasons. You can find it on tombstones dating from the Revolutionary War era to ones that were set in the last year. The masonic symbol is a architect’s set of compasses and a square, with or without a G in the space created in the center, as I’ve shown on the Gammon stone at Highland Park Cemetery in Shaker Heights.
These monuments are in Harvard Grove Cemetery.
A Grave Concern 