Temporally and spatially resolved measurements of stimulated Raman scattering from flowing ethanol droplets are presented. The observed temporal oscillations of stimulated Raman scattering from two segments of the droplet rim are 180-degrees out of phase and dependent on the azimuthal mode number of the morphology-dependent resonance (MDR). The observed precession of the MDR about the symmetry axis of an oblate droplet is consistent with the angular momentum of the MDR, n, and with perturbation predictions of the frequency splitting of a (2n + 1)-degenerate MDR of a perfect sphere.