Tim Stockdale, the family patriarch, wasn't home at the time of the shooting, and two other sons live in a different town.
The family also appeared on Wife Swap in the US in 2008.
In the episode, Kathryn Stockdale lists all the strict rules she has for the family including controlling all they listen to, home schooling them and banning the boys from going on dates. The family also raises and kills all the meat that they eat.
"It's important we have control over their character and education," she said.
In the episode, Jacob says "I have never been on a date, there's better ways to find out about girls then dating."
Tim Stockdale released a statement after the killings.
"Kathy has been my beloved wife of 32 years and a wonderful mother to our four sons … She had a strong love of learning and was passionate about her Christian faith, natural health, and organic farming."
Calvin Stockdale, the eldest brother of the family, also issued a statement regarding his late brother, James: "James, our youngest brother, has always been a catalyst of family fun. Aside from being a gifted musician, James enjoyed dancing and had an innate love of people.
"James was working on a business degree and hoped to go into the business side of entertainment. He leaves behind many friends and a family that love him dearly."