governor, lieutenant governor

Never abbreviate governor.

Capitalize before personal name but not when formal title is in apposition:

            Governor Sloan

            Christopher P. Sloan, governor of Colorado

            Christopher P. Sloan, Colorado's governor

            Christopher P. Sloan, governor of the state

            Colorado Governor Christopher P. Sloan

            the governor of Colorado

            the governor

            Lt. Governor John L. Eliot

            Lt. Governor Eliot

            the lieutenant governor