  We give an example of a family of smooth complex algebraic surfaces of degree
$6$ in $\mathbb{CP}^3$ developing an isolated elliptic singularity. We show via
a gluing construction that the unique K\"ahler-Einstein metrics of Ricci
curvature $-1$ on these sextics develop a complex hyperbolic cusp in the limit,
and that near the tip of the forming cusp a Tian-Yau gravitational instanton
bubbles off.
