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