  We report the results of Hubble Space Telescope (HST) and Chandra X-ray
Observatory (CXO) observations of the GLIMPSE-C01 (hereafter GC01) star
cluster. Color-magnitude and color-color diagrams suggest a cluster age of
$\gtrsim2$ Gyrs up to $\sim10$ Gyrs (dependent on GC01's metallicity), a
distance of 3.3-3.5 kpc, and strong differential reddening with $A_V=14-22$.
After performing astrometric corrections, we find that nine of the 15 X-ray
sources have at least one NIR counterpart within the 2$\sigma$ CXO positional
error circles. However, given the very high density of NIR sources in the
cluster, most of these counterparts are likely due to chance coincidence. We
jointly analyze the X-ray and NIR properties to assess the likelihood of true
associations. Based primarily on their X-ray properties, we identify an LMXB
candidate (source X2), a CV candidate (source X1), and an AB candidate (source
X9). Source X11 is detected during an X-ray flaring episode with a flare
luminosity ($L_{X}=2.1\times10^{33}$ erg s$^{-1}$) and has a quiescent
luminosity $L_{X}<8.0\times10^{30}$ erg s$^{-1}$, in 0.5--8 keV at the distance
of GC01, suggesting that the source is either an AB or CV. We also discuss the
limits on an intermediate mass black hole at the center of GC01 and the
challenges of X-ray source classification imposed by the limitations of the
existing data and instrumentation along with future prospects in the James Webb
Space Telescope era.
