The hints from the LHC for the existence of a $W$ boson of mass around 1.9 TeV point towards a certain $SU(2)_Ltimes SU(2)_Rtimes U(1)_{B-L}$ gauge theory with an extended Higgs sector. We show that the decays of the $W$ boson into heavy Higgs bosons have sizable branching fractions. Interpreting the ATLAS excess events in the search for same-sign lepton pairs plus $b$ jets as arising from $W$ cascade decays, we estimate that the masses of the heavy Higgs bosons are in the 400--700 GeV range.