25,563 radial velocity measurements are reported for 1359 single-lined stars in the Carney-Latham sample of 1464 stars selected for high proper motion; for 171 of these, spectroscopic orbital solutions are derived. The radial velocities of nearly all of the 1464 stars defined in Paper XII (J/AJ/107/2240) have been monitored with the CfA Digital Speedometers (see Latham 1985, in IAU Colloq. 88, 21; and 1992, in IAU Colloq. 135, 110). Three nearly identical instruments have been used on the Multiple Mirror Telescope and 1.5 m Tillinghast Reflector at the F.L. Whipple Observatory atop Mount Hopkins, Arizona, and on the 1.5m Wyeth Reflector located at the Oak Ridge Observatory in the town of Harvard, Massachusetts. Echelle spectrographs have been used with photon counting intensified Reticon detectors to record about 45Angstroems of spectrum in a single order. Most of the spectra were centered near 5187Angstroems, but a significant number of the early spectra were centered near 5197Angstroems. The shift in central wavelength was adopted in order to include all three lines of the Mgb triplet, after it was fully appreciated that all the other lines in our spectral window became extremely weak for our most metal-poor stars. The spectral resolution is about 8.5km.s-1 for all our exposures, and the signal-to-noise ratios range from about 5 to 50 per resolution element.