Watch: 19 Kids and Counting's Joseph Duggar Arrested, Accused of Molesting 9-Year-Old Girl on VacationJill Duggar Dillard and her family are addressing her younger brother Joseph Duggar's arrest. After the 31-year-old was arrested and charged with lewd and lascivious behavior-molestation of a victim less than 12 years old-and lewd and lascivious behavior conducted by a person 18 years or older, his older sister and her family shared a statement.