  We use the moduli space of stable curves to determine the stable (in the
sense of Koll\'{a}r-Shepherd-Barron) degenerations of surfaces isogenous to a
product of stable curves. A recent family of examples of Catanese show that the
moduli space of such smooth surfaces may have two components. The main result
of this note is that these components do not meet in the stable
compactification. To the best of my knowledge this gives the first example of a
moduli space of stable surfaces with multiple connected components
parameterizing diffeomorphic smooth surfaces. Comments are appreciated.
