What is the origin of the term sick to the back teeth?

The phrase "sick to the back teeth" is believed to have originated in the 19th century, likely in British English. It refers to a feeling of extreme annoyance or disgust, suggesting that one is so fed up that the feeling penetrates deeply, even to the back of one's teeth. The imagery evokes a visceral reaction, emphasizing the intensity of the emotion. Its usage has persisted, often conveying exasperation or frustration in various contexts.