  Following a prediction made in
Refs.~\cite{vonBuddenbrock:2015ema,Kumar:2016vut,vonBuddenbrock:2016rmr}, this
paper focuses on multi-lepton signatures arising from two new hypothetical
scalar bosons, $H$ and $S$, at the Large Hadron Collider (LHC). These two new
bosons are an extension to the Standard Model (SM) and interact with the SM
Higgs boson, $h$. We consider two production modes for $H$, one being gluon
fusion and the other being in association with top quarks. The $H \to S h$
decay mode is considered, where leptonic final states are studied. The CP
properties of $S$ are characterised by considering effective couplings derived
from dimension six operators through $SWW$ vertices. The nature of the $S$
boson is considered in two separate contexts. Firstly in a simplified model, it
is considered to have Higgs-like couplings. Secondly, we consider a heavy
neutrino model and its interactions with the $Z, W$ and $S$ bosons. The
predictions of the models are compared both to ATLAS and CMS results at
$\sqrt{s} = 8$ and $13$~TeV, where appropriate. The data is interpreted using a
simplified model where all the signal comes from $H \to S h$, assuming $S$ to
be Higgs-like, $m_H=270$~GeV and $m_S=150$~GeV. The combined result yields
gives a best fit value for the parameter $\beta_g$ (the strength of the Yukawa
coupling of $H$ to top quarks), $\beta_g^2=1.38\pm 0.22$. A number of regions
of the phase space are suggested to the experiments for further exploration.
