First Doctor's cane

The First Doctor possessed a cane, (PROSE: The Arboreals, A Big Hand for the Doctor) also called a walking stick, (PROSE: The Exiles, Bide-a-Wee) which he sometimes brought with him when he ventured out of his TARDIS. (PROSE: The Arboreals)

History
Shortly after escaping Gallifrey with his granddaughter Susan, the First Doctor slept with his hands on the handle of his cane. (PROSE: The Exiles)

Later, he used his cane when he ventured out onto a planet with Susan. (PROSE: The Arboreals)

When confronting the Soul Pirate Igby, the Doctor kept his cane stretched out in front of him as a means of defence, however Igby easily battered it away with his silver wrist-guard. (PROSE: A Big Hand for the Doctor)