In 1952, Redding brought two cases to desegregate public schools in Claymont ("Belton v. Gephart") and Hockessin ("Bulah v. Gephart"). "Gebhart v. Belton" was combined with cases from three other states and the District of Columbia to become part of the landmark U.S. Supreme Court case in 1954 known as "Brown v. Board of Education". Redding argued the Brown case with a team of attorneys that included Thurgood Marshall. Redding also successfully argued "Burton v. Wilmington Parking Authority" before the US Supreme Court in 1961 which held that segregation in public accommodations was not permissible.