We present numerical estimates for the various signatures of a neutral Higgs particle produced in the radiative decays V + H + y, of a heavy vector onium state V(=J/~,T,Tt). We suggest to enhance the Higgs signal by requiring a correlation with weakly decaying states (T, charm, bottom) or with strange + -particles from charm and bottom. Rates for the processes e e + V + H + y + ~ 1 lepton + y + anything, : 2 kaons + y + anything are presented, and the effects of the lepton energy cuts on the first of the two processes are evaluated.