19 Kids & Counting Josh Duggar's wife Anna won't leave him despite cheating, says source, she will likely absorb blame 08/21/2015 Josh Duggar might've cheated on his wife Anna Duggar, but she reportedly has no desire to split. Read More RELATED NEWS Josh Duggar convicted of receiving and possessing child pornography after jury trial in ArkansasJosh Duggar charged with two counts of child pornography and facing up to 20 years in prisonAmy Duggar King and husband Dillon King welcome first child TAGS: Jessa Duggar Josh Duggar Jim Bob Duggar Jill Duggar