Clay Waller, a former police offer, refused an interview request from ABC News but issued a written statement through his attorney that said, "Mr. Waller misses his wife and hopes she is found okay. He had nothing to do with her disappearance and sympathizes with her family. We will not try this case in the media while there is an ongoing investigation."
Mrs. Rawson told "GMA" it was not until her daughter and son-in-law's separation earlier this year that the family learned of the abuse they say their daughter suffered.
"When she moved up here in March, she started telling us about threats on her life and how worried that she was that he was going to follow through," she said.
"Jacque had always been pretty quiet about their relationship," she added. "I don't think it really escalated until about a year ago when she decided it was time to get a divorce."
The couple's three children, 5-year-old triplets Maddox, Avery and Addison, are being cared for by Brenneke and her husband as the search for their mother continues. A court on Tuesday again denied any visitation rights for their father.
"They do pretty well most of the time, but they do have some meltdowns," Mrs. Rawson said of how her grandchildren are handling being away from both their mother and their father. "They do miss their mother and want to know what happened to her. That's the answer we're trying to get for them."
The Rawsons and the rest of Jacque's friends and family have so far organized six searches and put up a $3,500 reward for information leading to her return. They are also asking that any tips be phoned into a special line at 573-243-3151.
Meanwhile, law enforcement officials have undertaken an extensive search throughout the county and area surrounding where Jacque went missing, using cadaver dogs, dive teams and helicopters to locate the missing mom.
"We have great police officers working this," Mr. Rawson said. "This will be solved."
The Associated Press contributed to this story.