We discuss properties of the Seifert form for simple K3 singularities, and of the Picard lattices of families of weighted K3 surfaces. We study a collection M(ρ, δ) of K3 surfaces polarized by their Picard lattices that are in the set L(ρ, δ) of certain lattices. We also report a numerical formula that relates the Seifert form for the singularities and the Picard lattice of the family.