We search for Higgs bosons produced in association with a massive
vector boson in 91 +/- 7 pb^-1 of ppbar collisions at sqrt s = 1.8 TeV
recorded by the Collider Detector at Fermilab.  We assume the Higgs scalar H^0
decays to a bb-bar pair with branching ratio B, and we consider the hadronic
decays of the vector boson V (W or Z).  Observations are consistent with
background expectations.  We place upper limits on sigma(ppbar -> H^0V) . B as
a function of the scalar mass (M_H^0) over the range 70 GeV/c^2 < M_H^0 < 140
GeV/c^2.  When combined with an analysis of the case where V is a leptonically
decaying W, these limits vary from 23 pb at M_H^0 = 70 GeV/c^2 to 17 pb at
M_H^0 = 140 GeV/c^2.