  Improved observational constraints on the orbital parameters of the low-mass
X-ray binary Scorpius~X-1 were recently published in Killestein et al (2023).
In the process, errors were corrected in previous orbital ephemerides, which
have been used in searches for continuous gravitational waves from Sco~X-1
using data from the Advanced LIGO detectors. We present the results of a
re-analysis of LIGO detector data from the third observing run of Advanced LIGO
and Advanced Virgo using a model-based cross-correlation search. The corrected
region of parameter space, which was not covered by previous searches, was
about 1/3 as large as the region searched in the original O3 analysis, reducing
the required computing time. We have confirmed that no detectable signal is
present over a range of gravitational-wave frequencies from $25\textrm{Hz}$ to
$1600\textrm{Hz}$, analogous to the null result of Abbott et al (2022). Our
search sensitivity is comparable to that of Abbott et al (2022), who set upper
limits corresponding, between $100\textrm{Hz}$ and $200\textrm{Hz}$, to an
amplitude $h_0$ of about $10^{-25}$ when marginalized isotropically over the
unknown inclination angle of the neutron star's rotation axis, or less than
$4\times 10^{-26}$ assuming the optimal orientation.
