  We report on the discovery of cool gas inflow toward six star-forming
galaxies with redshifts z ~ 0.35 - 1. Analysis of MgII and FeII resonance-line
absorption in Keck/LRIS spectroscopy of this sample reveals velocity shifts of
80 - 200 km/s and equivalent widths for inflowing gas of >~ 0.6 Ang in five of
the six objects. The host galaxies exhibit a wide range in star formation rates
(SFR ~ 1 - 40 M_sun/yr) and have stellar masses similar to that of the Milky
Way (log M_*/M_sun ~ 9.6 - 10.5). Imaging from the Hubble Space Telescope
Advanced Camera for Surveys indicates that five of the six galaxies have highly
inclined (i > 55 deg), disk-like morphologies. These data represent the first
unambiguous detection of inflow into isolated, star-forming galaxies in the
distant universe. We suggest that the inflow is due to the infall of enriched
material from dwarf satellites and/or a galactic fountain within the galaxies.
Assuming that the material has been enriched to 0.1Z_sun and has a physical
extent approximately equal to that of the galaxies, we infer mass inflow rates
of dM_in/dt >~ 0.2 - 3 M_sun/yr for four of these systems. Finally, from
comparison of these absorption lines to the profiles of MgII and FeII
absorption in a larger spectroscopic sample of ~100 objects, we measure a
covering fraction of cool inflow of at least 6%, but cannot rule out the
presence of enriched infall onto as many as ~40 of these galaxies.
