  This paper continues the study of two examples of extremal transitions
between families of Calabi-Yau threefolds. In a previous paper we suggested
that the "mirror transition" between mirror families predicted by Morrison
could be achieved naturally by combining a toric morphism with the
Batyrev-Borisov construction. This was carried out for a particular example of
a conifold transition. In this paper we show that similar methods work for
another extremal transition involving more complicated singularities. We also
study how the resolution is related to geometry of the ambient toric varieties,
and discuss the connection with recent work by Doran and Harder.
