The Severi variety
$V_{d,n}$
of plane curves of a given degree
$d$
and exactly
$n$
nodes admits a map to the Hilbert scheme
$\mathbb{P}^{2[n]}$
of zero-dimensional subschemes of
$\mathbb{P}^{2}$
of degree
$n$
. This map assigns to every curve
$C\in V_{d,n}$
its nodes. For some
$n$
, we consider the image under this map of many known divisors of the Severi variety and its partial compactification. We compute the divisor classes of such images in
$\text{Pic}(\mathbb{P}^{2[n]})$
and provide enumerative numbers of nodal curves. We also answer directly a question of Diaz–Harris [‘Geometry of the Severi variety’, Trans. Amer. Math. Soc.309 (1988), 1–34] about whether the canonical class of the Severi variety is effective.