  Regarding the resolution of singularities for the differential equations of
Painlev\'e type, there are important differences between the second-order
Painlev\'e equations and those of higher order. Unlike the second-order case,
in higher order cases there may exist some meromorphic solution spaces with
codimension 2. In this paper, we will give an explicit global resolution of
singularities for a 3-parameter family of third-order differential systems with
meromorphic solution spaces of codimension 2.
