  Motivated by recent experiments at LEP ($Z \to l^+l^-\gamma\gamma$, with
$M_{\gamma\gamma} \simeq 59 GeV$), we examine the possibility that such events
are explained by a Bjorken process with a resonant Higgs ($M_{h^o} \simeq 59
GeV$) decaying to $\gamma\gamma$. Our model is an N-doublet-Higgs model without
CP-violation. Under the simplifying assumption that $(N-k)$ doublets ($k \geq
1$) decouple from the fermion sector, we could explain the observed events if:
i) $(N-1) \geq 2$ and ii) the masses of the corresponding $(N-1)$ neutral
scalars are either completely or almost degenerate, i.e. the decay $Z \to
l^+l^- \gamma\gamma$ proceeds now via several overlapping resonances.
