We report that adiabatic manipulation of a Raman process allows us to produce an optical-frequency comb from single-frequency lasers. We realize an octave-spanning Raman comb with carrier-envelope-offset frequency control, by using dual-frequency laser radiation locked on a single laser cavity and simultaneously its second harmonic. It is shown that in both the temporal and spectral domains, locking the dual frequencies on a single laser cavity provides control of the carrier-envelope-offset frequency at integer multiples of the free spectral range of the laser cavity.