  We describe a procedure to identify stars from nearby moving groups and
associations out of catalogs of stars with large proper motions. We show that
from the mean motion vector of a known or suspected moving group, one can
identify additional members of the group based on proper motion data and
photometry in the optical and infrared, with minimal contamination from
background field stars. We demonstrate this technique by conducting a search
for low-mass members of the Beta Pictoris Moving Group in the Tycho-2 catalog.
All known members of the moving group are easily recovered, and a list of 51
possible candidates is generated. Moving group membership is evaluated for 33
candidates based on X-ray flux from ROSAT, Halpha line emission, and radial
velocity measurement from high-resolution infrared spectra obtained at Infrared
Telescope Facility. We confirm three of the candidates to be new members of the
group: TYC 1186-706-1, TYC 7443-1102-1, and TYC 2211-1309-1 which are late-K
and early-M dwarfs 45-60pc from the Sun. We also identify a common proper
motion companion to the known Beta Pictoris Moving Group member TYC
7443-1102-1, at a 26".3 separation; the new companion is associated with the
X-ray source 1RXS J195602.8-320720. We argue that the present technique could
be applied to other large proper motion catalogs to identify most of the
elusive, low-mass members of known nearby moving groups and associations.
