  Nearby young moving groups provide unique samples of similar age stars for
testing the evolution of physical properties. Incomplete and/or incorrect group
membership classifications reduce the usefulness of the group, which we assume
to be coeval. With near-infrared spectra of two candidate members of the TW Hya
Association, 2MASS J12354615$-$4115531 (TWA 46) and 2MASS J12371238$-$4021480
(TWA 47), we test their membership by adding radial velocity measurements to
the literature. We find that 2MASS J12354615$-$4115531 is a close spectroscopic
binary system with a center-of-mass radial velocity of -6.5$\pm$3.9 km
s$^{-1}$. This radial velocity and a $\textit{Gaia}$ parallax produces a TWA
membership probability of 41.9$\%$ using the Banyan $\Sigma$ tool for 2MASS
J12354615$-$4115531. The spectrum of 2MASS J12371238$-$4021480 shows that it
appears to be a single star with a radial velocity consistent with the TW Hya
Association and a membership probability of 99.5$\%$. The reduced probability
of TWA 46 as a true member of TWA highlights the importance of high-resolution,
near-infrared spectra in validating low-mass moving group members.
