We present a study of W +multijet events that compares the kinematics of the observed events with expectations from direct QCD W +jet production and from production and decay of top quark pairs. The data were collected in the 1992-93 run with the Collider Detector at Fermilab (CDF) from 19.3 pb −1 of proton-antiproton collisions at √ s = 1.8 TeV. A W + ≥ 2 jet sample and a W + ≥ 3 jet sample are selected with the requirement that at least the two or three jets have energy transverse with respect to the beam axis in excess of 20 GeV. The jet energy distributions for the W + ≥ 2 jet sample agree well with the predictions of direct QCD W production. From the W + ≥ 3 jet events, a "signal sample" with an improved ratio of tt to QCD produced W events is selected by requiring each jet to be emitted centrally in the event center of mass frame.This sample contains 14 events with unusually hard jet E T distributions not well described by expectations for jets from direct QCD W production and other background processes. Using expected jet E T distributions, a relative likelihood is defined and used to determine if an event is more consistent with the decay of tt pairs, with M top = 170GeV/c 2 , than with direct QCD W production. Eight of the 14 signal sample events are found to be more consistent with top than direct QCD W production, while only 1.7 such top-like events are expected in the absence of tt. The probability that the observation is due to an upward fluctuation of the number of background events is found to be 0.8%. The robustness of the result was tested by varying the cuts defining the signal sample, and the largest probability for such a fluctuation found was 1.9% . Good agreement in the jet spectra is obtained if jet production from tt pair decays is included.For those events kinematically more consistent with tt we find evidence for a b-quark content in their jets to the extent expected from top decay, and larger than expected for background processes. For events with four or more jets, the discrepancy with the predicted jet energy distributions from direct QCD W production, and the associated excess of b-quark content is more pronounced.