We are interested in understanding how a higher genus curve in a smooth surface of general type can degenerate into the non-normal locus of the limit of a degeneration of surfaces. More precisely:

Let $\mathscr{X} \to B$ be a family of surfaces over a smooth curve $B$ so that the general fiber $X_\eta$ is a smooth surface, the special fiber $X_0$ has semi log canonical singularities, and the canonical sheaf $\omega_{X_b}$ of every fiber is ample. This corresponds to a map from $B$ to the KSBA moduli space of stable surfaces.

Assume that the double locus of $X_0$ (i.e. the non-normal locus of $X_0$) has an irreducible component which is a rational curve $D$.

**Question 1.** Let $C_\eta \subset X_\eta$ be a smooth curve whose genus is $\geq 2$, and let $\mathscr{C} \to B$ be the family of curves obtains as the closure of $C_\eta$ inside $\mathscr{X}$. Denote by $C_0$ the special fiber $\mathscr{C} \cap X_0$. Can $C_0$ contain $D$ as an irreducible component?

We are additionally interested in how this can generalize to the case of pairs. In this setting, now suppose there is a divisor $\Delta \subset \mathscr{X}$ so that the pair $(X_b, \Delta_b)$ has slc singularities and the log canonical sheaf $\omega_{X_b} + \Delta_b$ is ample for every fiber, where $\Delta_b = X_b \cap \Delta$. Equivalently now there is a map from $B$ into the moduli space of stable pairs of dimension 2.

**Question 2.** If Question 1 is true, is it possible that $\Delta$ intersects $D$ (the component of $C_0$ inside the double locus of $X_0$) transversally at a smooth point of $C_0$ and that $\Delta \cap C_\eta \neq \emptyset$?