The grave of James R Kirk, as seen in the second pilot episode '
Where No Man Has Gone Before'
The gravestone suggests that an important event marked "C" took place on stardate 1277.1. It's been suggested that this is the date when Kirk assumes command of the Starship Enterprise
With regards to the error in Kirk's name, Gene Roddenberry decided that this was because Gary Mitchell, the man who Kirk is fighting, "
had godlike powers, but at base he was Human, and he simply made a mistake."