From 1944 to 1956, Cleveland represented his adopted Acadia Parish in the Louisiana House of Representatives.<ref>{{cite web|url=https://house.louisiana.gov/H_PDFdocs/HouseMembership_History_CURRENT.pdf|title=Membership in the Louisiana House of Representatives, 1812-2024: Acadia Parish|publisher=Louisiana House of Representatives|accessdate=July 28, 2020}}</ref> From 1956 to 1964, he was a state senator for two terms from Acadia Parish. In the first term, he also represented neighboring St. Landry Parish.<ref>{{cite web|url=http://senate.la.gov/Documents/Membership/1880membership.pdf|title=Membership of the Louisiana State Senate, 1880-2024: Acadia and St. Landry parishes|publisher=Louisiana State Senate|accessdate=July 28, 2020}}</ref> | From 1944 to 1956, Cleveland represented his adopted Acadia Parish in the Louisiana House of Representatives.<ref>{{cite web|url=https://house.louisiana.gov/H_PDFdocs/HouseMembership_History_CURRENT.pdf|title=Membership in the Louisiana House of Representatives, 1812-2024: Acadia Parish|publisher=Louisiana House of Representatives|accessdate=July 28, 2020}}</ref> From 1956 to 1964, he was a state senator for two terms from Acadia Parish. In the first term, he also represented neighboring St. Landry Parish.<ref>{{cite web|url=http://senate.la.gov/Documents/Membership/1880membership.pdf|title=Membership of the Louisiana State Senate, 1880-2024: Acadia and St. Landry parishes|publisher=Louisiana State Senate|accessdate=July 28, 2020}}</ref> |