Came across a nice shot of the council chambers at City Hall the way it (and the elected members) looked during President Franklin Roosevelt's first term. The caption info identifies the photo as 1930, but since FDR wasn't elected until two years later we can disregard that. The caption also calls it the 1931-33 council, which could be right. Click the thumbnail for a large, uncropped version.
Photo: Los Angeles Public Library/Security Pacific Bank Collection