  Currently, the ability to produce black hole mass estimates using the CIV
1549 line that are consistent with Hb mass estimates is uncertain, due in large
part to disagreement between velocity line width measurements for the two
lines. This discrepancy between Hb and CIV arises from the fact that both line
profiles are treated the same way in single-epoch scaling relationships based
on the assumption that the broad-line region is virialized, even though a
non-virialized emission component is often significant in the CIV line and
absent or weak in the Hb line. Using quasi-simultaneous optical and
ultra-violet spectra for a sample of 85 optically bright quasars with redshifts
in the range z=0.03-1.4, we present a significant step along the path to
rehabilitating the CIV line for black hole mass estimates. We show that the
residuals of velocity line width between CIV and Hb are significantly
correlated with the peak flux ratio of SiIV+OIV] 1400 to CIV. Using this
relationship, we develop a prescription for estimating black hole masses from
the ultra-violet spectrum that agree better with Hb-based masses than the
traditional CIV masses. The scatter between Hb and CIV masses is initially 0.43
dex in our sample and is reduced to 0.33 dex when using our prescription. The
peak flux ratio of SiIV+OIV] 1400 to CIV is an ultraviolet indicator of the
suite of spectral properties commonly known as "Eigenvector 1", thus the
reduction in scatter between CIV and Hb black hole masses is essentially due to
removing an Eigenvector 1 bias in CIV-based masses.
