  Kodaira's classification of singular fibers in elliptic fibrations and its
translation into the language of monodromies and Lefschetz fibrations has been
a boon to the study of 4-manifolds. In this article, we begin the work of
translating between singular fibers of genus 2 families of algebraic curves and
the positive Dehn twist factorizations of Lefschetz fibrations for a certain
subset of the singularities described by Namikawa and Ueno in the 70s. We look
at four families of hypersurface singularities in $\mathbb{C}^3$. Each
hypersurface comes equipped with a fibration by genus 2 algebraic curves which
degenerate into a single singular fiber. We determine the resolution of each of
the singularities in the family and find a flat deformation of the resolution
into simpler pieces, resulting in a fibration of Lefschetz type. We then record
the description of the Lefschetz as a positive factorization in Dehn twists.
This gives us a dictionary between configurations of curves and monodromy
factorizations for some singularities of genus 2 fibrations.
