  The behaviour of baby universes has been an important ingredient in
understanding and quantifying non-critical string theory or, equivalently,
models of two-dimensional Euclidean quantum gravity coupled to matter. Within a
regularized description based on dynamical triangulations, we amend an earlier
conjecture by Jain and Mathur on the scaling behaviour of genus-$g$ surfaces
containing particular baby universe `necks', and perform a nontrivial numerical
check on our improved conjecture.
