We summarize a search for the top quark with the Collider Detector at Fermilab (CDF) in a sample of p-bar p collisions at sqrt(s) = 1.8 TeV with an integrated luminosity of 19.3 pb**-1. We find 12 events consistent with either two W bosons, or a W boson and at least one b jet. The probability that the measured yield is consistent with the background is 0.26%. Though the statistics are too limited to establish firmly the existence of the top quark, a natural interpretation of the excess is that it is due to t t-bar production. Under this assumption, constrained fits to individual events yield a top quark mass of 174+-10+13-12 GeV/c**2. The t t-bar production cross-section is measured to be 13.9+6.1-4.8 pb.