Technically not on Calton Hill, but just below.
The Burns Monument
Built: 1831-39
This building commemorates Scotland’s National Poet Robert Burns (1759-96), and its modelled on the ancient Choragic Monument on Lysicrates in Athens. A Key feature is the tripod on top of the monument, awarded as a prize for dramatic performances
The pedestal states: ROBERT BURNS, BORN NEAR AYR, 25th January, 1759 DIED AT DUMFRIES, 21st July, 1796