Tod is a common bit of Cockney rhyming slang meaning 'on one's own'. It comes from the name Tod Sloan, a famous jockey whose English career spanned from 1898 to 1901. Having been kicked out of the British Jockey Club for betting on races in which he was competing, he was married, divorced, attempted a failed one-man show in the New York vaudeville scene, and published an autobiography entitled Tod Sloan by Himself. These events may have influenced the slang usage.
Today tod is still a familiar word in the UK, although it appears almost exclusively in the phrases such as 'on my tod', 'on its tod', and 'on your tod'.