We present a detailed examination of the heavy flavour content of the W+ jets sample collected with the CDF detector. Jets containing heavy flavoured quarks are selected via the identification of secondary vertices or semileptonic decays of b and c quarks. There is generally good agreement between the rates of secondary vertices and soft leptons in the data and in the standard model simulation which includes single and pair production of top quarks. An exception is the number of events in which a single jet has both a soft lepton and a secondary vertex tag. In W + 2 or 3 jet data, we find 13 events where we expect 4.4 +- 0.6 events. The kinematic properties of this small sample of events are statistically difficult to reconcile with the simulation of standard
model processes. Several phenomenological approaches are used to model these data and to estimate their production cross section.