A quark-model picture which incorporates SU(6)w symmetry is utilized to calculate the weak Δ-nucleon-meson and Δ-Δ-meson parity-violating vertices for π, ρ, and ω mesons, thus extending previous work in the nucleon sector. The effective quark Hamiltonian is based upon the renormalization-group-corrected Weinberg-Salam model. The calculated parity-violating vertices are used to determine the coupling constants in an effective baryon Hamiltonian. We give ‘‘best’’ values as well as estimates of the ranges of uncertainty.