In this paper we consider a sequential ''meson emission'' mechanism for charmonium decays of the type É ! N " Nm, where É is a generic charmonium state, N is a nucleon, and m is a light meson. This decay mechanism, which may not be dominant in general, assumes that an N " N pair is created during charmonium annihilation, and the light meson m is emitted from the outgoing nucleon or antinucleon line. A straightforward generalization of this model can incorporate intermediate N à resonances. We derive Dalitz plot event densities for the cases É ¼ c , J=c , c0 , c1 , and c 0 ; and m ¼ 0 , f 0 , and ! (and implicitly, any 0 Àþ , 0 þþ , or 1 ÀÀ final light meson). It may be possible to separate the contribution of this decay mechanism to the full decay amplitude through characteristic event densities. For the decay subset É ! p " p 0 the two model parameters are known, so we are able to predict absolute numerical partial widths for ÀðÉ ! p " p 0 Þ. In the specific case J=c ! p " p 0 the predicted partial width and M p event distribution are intriguingly close to experiment. We also consider the possibility of scalar meson and glueball searches in É ! p " pf 0 . If the meson emission contributions to É ! N " Nm decays can be isolated and quantified, they can be used to estimate meson-nucleon strong couplings fg NNm g, which are typically poorly known, and are a crucial input in meson exchange models of the NN interaction. The determination of g NN from J=c ! p " p 0 and the (poorly known) g NN! and the anomalous ''strong magnetic'' coupling NN! from J=c ! p " p! are considered as examples.