singlet charged Higgs boson in this model, especially in the context of electron-positron colliders. The singlet charged Higgs bosons can be pair produced via a $t$-channel process. This process can either be mediated by a left-handed or a right-handed neutrino. The left-handed neutrino mediated processes suffer from extremely small couplings while the right-handed neutrino mediated processes (for models with heavy right-handed neutrinos) are suppressed by the large right-handed neutrino masses. The $t$-channel mediated charged Higgs pair-production cross-section thus remains extremely small for both these processes. Our scenario, with light MeV scale right-handed neutrinos, can alleviate this shortcoming and deliver large pair-production cross-section for the charged Higgs boson. Owing to the large couplings with the leptons, the charged singlet Higgs bosons can be copiously produced at lepton colliders, and thus give rise to rich collider phenomenology. Since the singlet charged Higgs does not interact with the quarks of the SM, it has a limited discovery prospect in the hadronic colliders including the Large Hadron Collider (LHC). A lepton collider, instead, is a perfect setup to test the singlet charged Higgs of this model. In this work, we pursue a detailed study of LRS extended Zee model by analyzing the neutrino mass 