Who took Alice to the the mock turtle?

When Alice first sees the Mock Turtle in Wonderland, he is sitting on a rock.

They had not gone far before they saw the Mock Turtle in the distance, sitting sad and lonely on a little ledge of rock, and, as they came nearer, Alice could hear him sighing as if his heart would break

Other than that, the author gives no indication as to the location of the scene, except that there is some implication that they might be near the sea shore, as that is where the Lobster Quadrille must be danced, and the Turtle and the Gryphon give a demonstration of it, and their conversation is full of references to the ocean and to various sea creatures.