  We extend the methods of the author's previous paper to show that certain
families of essential twice-punctured tori are detected by an ideal point on
the character variety, and that the limiting character at these ideal points is
irreducible. This completes the proof that all punctured tori in two-bridge
knots are detected by an ideal point in the $SL_2(\mathbb{C})$ character
variety and initiates the study of punctured tori in pretzel knots.
