  We calculate the classes of the universal hyperelliptic Weierstrass divisor
$\overline{{\mathcal H}}_{g,w}$ and the universal $g^1_2$ divisor
$\overline{{\mathcal H}}_{g,g^1_2}$. Our results are expressed in terms of a
basis for $Cl(\overline{{\mathcal H}}_{g,1})$ and $Cl(\overline{{\mathcal
H}}_{g,2})$ computed by Scavia.
