  A natural seesaw mechanism for obtaining the observed size of SM neutrino
masses can arise in a warped extra dimensional/composite Higgs framework. In a
previous paper, we initiated the study of signals at the LHC for the associated
$\sim$ TeV mass SM singlet neutrinos, within a canonical model of $SU(2)_L
\times SU(2)_R \times U(1)_{ B - L }$ (LR) symmetry in the composite sector, as
motivated by consistency with the EW precision tests. Here, we investigate LHC
signals in a different region of parameter space for the same model, where
production of singlet neutrinos can occur from particles beyond those in usual
LR models. Specifically, we assume that composite $(B - L)$ gauge boson is
lighter than all the others in the EW sector. We show that the composite $(B -
L)$ gauge boson can acquire a significant coupling to light quarks simply via
mixing with elementary hypercharge gauge boson. Thus, the singlet neutrino can
be pair-produced via decays of $(B - L)$ gauge boson, without a charged current
counterpart. Furthermore, there is no decay for $(B - L)$ gauge boson directly
into dibosons, unlike for the usual case of $W_R^{ \pm }$ and $Z^{ \prime }$.
Independently of the above extension of the EW sector, we analyze production of
singlet neutrinos in decays of composite partners of $SU(2)_L$ doublet leptons,
which are absent in the usual LR models. In turn, these doublet leptons can be
produced in composite $W_L$ decays. We show that $4 - 5 \sigma$ signal can be
achieved for both cases described above for the following spectrum with 3000
fb$^{-1}$ luminosity: $2 - 2.5$ TeV composite gauge bosons, $1$ TeV composite
doublet lepton (for the second case) and $500 - 750$ GeV singlet neutrino.
