  Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of
(smoothable) stable surfaces should admit a natural stratification defined via
Hodge theoretic data. In the case of stable surfaces with $K_X^2 = 1$ and
$\chi(X) = 3$ we compute the Hodge type of all examples known to us and show
that all predicted degenerations are geometrically realised.
