  We present new X-ray and UV observations of the Wolf-Rayet + black hole
binary system NGC 300 X-1 with the Chandra X-ray Observatory and the Hubble
Space Telescope Cosmic Origins Spectrograph. When combined with archival X-ray
observations, our X-ray and UV observations sample the entire binary orbit,
providing clues to the system geometry and interaction between the black hole
accretion disk and the donor star wind. We measure a binary orbital period of
32.7921$\pm$0.0003 hr, in agreement with previous studies, and perform
phase-resolved spectroscopy using the X-ray data. The X-ray light curve reveals
a deep eclipse, consistent with inclination angles of $i=60-75^{\circ}$, and a
pre-eclipse excess consistent with an accretion stream impacting the disk edge.
We further measure radial velocity variations for several prominent FUV
spectral lines, most notably He II $\lambda$1640 and C IV $\lambda$1550. We
find that the He II emission lines systematically lag the expected Wolf-Rayet
star orbital motion by a phase difference $\Delta \phi\sim0.3$, while C IV
$\lambda$1550 matches the phase of the anticipated radial velocity curve of the
Wolf-Rayet donor. We assume the C IV $\lambda$1550 emission line follows a
sinusoidal radial velocity curve (semi-amplitude = 250 km s$^{-1}$) and infer a
BH mass of 17$\pm$4 M$_{\odot}$. Our observations are consistent with the
presence of a wind-Roche lobe overflow accretion disk, where an accretion
stream forms from gravitationally focused wind material and impacts the edge of
the black hole accretion disk.
