We have searched the data collected in 1998, 1999 and 2000 at
centre-of-mass energies between 189 and 209 GeV for Higgs
candidates from the process $\rm e^+e^- \rightarrow h^0 Z^0$ followed by the
decay of $\rm h^0$ into $\rm A^0 A^0$ when $m_{\rm A}$ is below the production
threshold for $\rm b\bar{b}$, and $m_{\rm h}$~is within the range 45--86 GeV. 
In this kinematical range, where the decay of $\rm h^0\rightarrow A^0 A^0$ is
dominant and the decay of the $\rm A^0$ into b-quarks is not allowed,
the standard Higgs searches have very small sensitivities and the
development of a dedicated topological search is required. This
search can be interpreted within any model that predicts the
existence of at least a scalar and a pseudoscalar  Higgs boson as
in the CP conserving Minimal Super Symmetric Model (MSSM) and in
Two Higgs Doublet Models (2HDM). Interpretations within models
where the physical Higgs bosons are not CP eigenstates, like the
CP violating MSSM, are also possible. Since no excess of events is
observed above the expected Standard Model backgrounds, the results of this
search are used to set model-independent limits on the
cross-section for the process $\rm e^+e^-\rightarrow h^0 Z^0$ assuming
100\% decays of the $\rm h^0$ into $\rm A^0A^0$ and  100\% decays of the 
$\rm A^0A^0$
into each of the following final states: $\rm c\bar{c} c\bar{c}$, 
$\rm gggg$, $\rm \tau^+\tau^-\tau^+\tau^-$, 
$\rm c\bar{c}gg$, 
$\rm gg\tau^+\tau^-$ and $\rm c\bar{c}\tau^+\tau^-$. 
The limits are also interpreted in the no-mixing MSSM scenario.