We analyze two independent surveys, due to Fouts and Sandage and to Carney and Latham, of high proper motion stars with photoelectric photometry and line-of-sight velocity information. A purely kinematic study of both samples indicates that a two-component classical (disk + spheroid) model of the Galaxy is inadequate to represent the kinematics of stars in the solar neighborhood. A component with intermediate kinematic properties (old disk) is required. We determine an asymmetric drift of 50 ± 15 km s-1 and principal velocity dispersions of (66, 37, 38) ± 10 km s-1, in good agreement with the results of the metallicity-based analysis of Sandage and Fouts and of Carney and collaborators. The density of this component is poorly constrained, and is ∼10% ± 5% of the local disk density for the same color range; the scale height is less than 1 kpc. A "thick disk" model for the intermediate component, with much larger asymmetric drift, velocity dispersions, and scale height, is incompatible with these samples.