When you enter the last big open area before the fog door there will be a somewhat hidden walkway on your right leading to a cave with a statue blocking your way. Hit that mother with a fragrant branch of yore, and you're home free.
Edit: Wait what? There is no third bonfire in The Gutter. There's just the two. The one I described is the second, and puts you seconds from The Rotten's fog gate.
Double edit: Are you talking about the primeval bonfire after the boss? It's right after the room where you fight The Rotten. Somewhat hidden, but just look around and you'll see it.
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Only two, ok thanks. I haven't fought the rotten yet, good to know I need a fragrant branch