An alien couple with cone-shaped heads (Dan Aykroyd and Jane Curtin) from the planet "Remulak" is mistakingly ditched on earth. While waiting to be recalled to their mother planet, they start a family and have a little daughter. They try to adapt to earth customs by living in middle-class suburbia. Meanwhile, their daughter grows up to be a teenager (Michelle Burke) who has difficulties fitting in with her peers or accepting the fact that at some point, she has to return to "Remulak" with the rest of the family.