Thin-leaved Coneflower Posted on September 27, 2012 by Axie Reply Related to Black-eyed Susan (both a kind of coneflower), but generally with smaller flower heads. Composite family. Native. Thin-leaved Coneflower (Rudbeckia triloba) Share this:Click to email a link to a friend (Opens in new window)Click to share on Facebook (Opens in new window)Click to print (Opens in new window)Click to share on Pinterest (Opens in new window)