  A novel search for heavy vector resonances in the $H\rightarrow b\bar{b}$ and
$Z\rightarrow b\bar{b}$ final states in association with a leptonically
decaying $V$ ($Z$ or $W$) and $W$-only respectively, is proposed. It is argued
that excesses with respect to the Standard Model prediction should be observed
in all final states (0, 1 or 2 leptons), with the 1-lepton final state being
the strongest. Since the relative strengths of these excesses depend on
branching ratios and efficiencies, this is a clear signal for the presence of
heavy resonances or their low mass tails. A general vector-triplet model is
used to explore the discovery potential as a function of the resonance mass and
width. Recent Higgs to $b\bar{b}$ observation data reported by the experiments
ATLAS and CMS are used to test the model. Current limits are extended to
resonance widths over mass as large as 9%.
