Josette is a form of the name Joseph. Joseph is an English form of the Hebrew name Yoseph. Josette is a diminutive (nickname) of Josephine. In the Old Testament, Joseph was the name borne by the 11th son of Jacob's 12 sons.hat does Josette mean, popularity, numerology and more. The name Josette is of Hebrew and French origin. The meaning of Josette is G-d shall add (another son).