Manifolds whose curvature tensor has kernel of codimension at most 2 are called Conullity 2 manifolds. Trivial ones are those that are formed as the metric product of a surface with Euclidean space. Certain non-trivial examples are formed as hypersurfaces in Euclidean space. These are examined by Szabo '81 and are shown to be graphs over R^3 where the kernel of the curvature gives a fibration of R^3 by pairwise-skew lines.