  We present a 50 ks Chandra ACIS-I X-ray observation of the Bower et al. VLA
archival field. The observations reach a limiting sensitivity of ~1E-4
counts/s, corresponding to a flux of a few times 1E-15 erg/s/cm^2 for the
models we explore. The Chandra observations were undertaken to search for X-ray
counterparts to the eight transient sources without optical counterparts, and
the two transient sources with optical counterparts seen by Bower et al.
Neither of the sources with optical counterparts was detected in X-rays. One of
the eight optical non-detections is associated with a marginal (2.4 sigma)
X-ray detection in our Chandra image. A second optically-undetected Bower et
al. transient may be associated with a z=1.29 X-ray detected quasar or its host
galaxy, or alternatively is undetected in X-rays and is a chance association
with the nearby X-ray source. The X-ray flux upper limits, and the one marginal
detection, are consistent with the interpretation of Ofek et al. that the
optically-undetected radio transients are flares from isolated old Galactic
neutron stars. The marginal X-ray detection has a hardness ratio which implies
a temperature too high for a simple one-temperature neutron star model, but
plausible multi-component fits are not excluded, and in any case the marginal
X-ray detection may be due to cosmic rays or particle background. The X-ray
flux upper limits are also consistent with flare star progenitors more distant
than approximately 1 kpc (which would require the radio luminosity of the
transient to be unusually high for such an object) or less extreme flares from
brown dwarfs at distances of around 100 pc.
