The case of a Georgia woman who disappeared nearly two weeks ago is still shrouded in mystery.

Cindy Lynch (search), 42, was last seen the night of Jan. 18 by a security guard in the parking lot of the Thunderbolt Marina (search) near Savannah, where she lived with her husband on their houseboat.

Police have not found a body, despite sonar searches of the Wilmington River, and they haven’t named anyone as a suspect in her disappearance.

But some of Lynch’s family members are suspicious of her husband, Chet Lynch (search), who has said he had nothing to do with his wife’s disappearance.

“I think her husband had something to do with it,” Cindy’s daughter, Zaid Greenway, told FOX News. “Several comments that he’s made, his attitude toward it … lead me to believe that he’s done something with her.”

Cindy’s sister, Connie Mercer, told FOX that her marriage to Chet was “very rocky.”

“There were some things going on, and some personal things that she had talked with her family about,” Mercer said.

“When they last had spoken, they had a discussion. I’m not going to call it a fight. They had a discussion about some issues that were going on. And she folded clothes that night, she put sheets on the bed and then she went up to her car to take some stuff for work the next day.”

Mercer didn’t elaborate on the nature of the “personal things” going on between Cindy and her husband. But other family members, including her brother, Randy Clark, have said that Cindy called her mother the night before she disappeared and told her she and Chet were having problems.

She purportedly said if anything happened to her, police should be contacted and Chet should be a focus in the investigation.

Chet Lynch told FOX News that he and his wife did have marital problems, but nothing out of the ordinary.

“Cindy and I love each other. She loved me. I loved her very dearly,” he said. “We had our ups and downs, just like every married couple does, but we love each other.”

He said he and his wife had a 35- to 40-minute “discussion” the night she vanished.

“It was not an argument, it was a discussion,” Lynch said. “There was no raised voices, hollering, screaming, any of those things. It was just a discussion between her and I.”

He declined to comment on what the discussion was about.

“That’s a personal topic between my wife and I, and I really would … prefer not to discuss that topic,” he said.

Lynch said he disclosed everything about the conversation to the Georgia Bureau of Investigation (search) (GBI) and the Thunderbolt police.

On the night of Tuesday, Jan. 18, sometime after 9:30 p.m., Cindy Lynch left the houseboat to take out some trash, according to Thunderbolt Police Chief Steve Smith. She went to her car and talked on her cell phone to several people for about an hour-and-a-half.

“She was then seen at the marina around 11:30 at night by a security guard, and from that point on, she has not been seen or heard from since,” Smith said. Her husband reported her missing the next day at about 1 p.m.

Chet Lynch told FOX News that he has cooperated fully with law enforcement, he has been cleared by the GBI and he passed a lie detector test. None of those statements could be confirmed.

He also told FOX that he believes his wife was the victim of a tragic accident and fell in the water. He said she was wearing high heels the night she disappeared.

Cindy Lynch has blond hair and blue eyes, is about 5-foot-5, 120 pounds and was last seen wearing all black. Anyone with any information should call the Thunderbolt, Ga., police or 911.

FOX News' Catherine Donaldson-Evans, Greta Van Susteren, Jonathan Serrie and David Lewkowict contributed to this report.