  Continuing our studies of radiative Upsilon(1S) decays, we report on a search
for Upsilon to gamma eta and Upsilon to gamma f_{J}(2220) in 61.3 pb^{-1} of
e^{+}e^{-} data taken with the CLEO II detector at the Cornell Electron Storage
Ring. For the gamma eta search the three decays of the eta meson to
pi^{+}pi^{-}pi^{0}, pi^{0}pi^{0}pi^{0}, and gamma gamma were investigated. We
found no candidate events in the two (3\pi)^{0} modes and no significant excess
over expected backgrounds in the gamma gamma mode to set a limit on the
branching fraction of B(Upsilon to gamma eta) < 2.1 x 10^{-5} at 90% C.L. The
three charged two-body final states h h-bar (h = pi^{+}, K^{+}, p) were
investigated for f_{J}(2220) production, with one, one, and two events found,
respectively. Limits at 90% C.L. of B(\Upsilon to gamma f_{J}) x B(f_{J} to h
h-bar) ~ 1.5 x 10^{-5} have been set for each of these modes. We compare our
results to measurements of other radiative Upsilon decays, to measurements of
radiative J/psi decays, and to theoretical predictions.
