The surface stress boundary condition developed in an invarient form in the preceding contribution to this series for a highly curved fluid interface is expressed in component form for a spherical fluid surface. The stress condition is used to examine bounded and unbounded viscous flow over a microemulsion droplet. Surface viscous effects are shown to be increasingly significant with increasing surface curvature, with higher order surface viscosity coefficients gaining a hydrodynamic relevance in the large surface curvature limit.