Husband's Comments 'Inconsistent' in Jogger Murder, Police Say

No arrests have been made in the case and Cooper has not been named a person of interest, but family and friends of his wife have said they are convinced that he was involved.

Nancy Cooper, 34, was found murdered Monday evening near her home in an upscale, North Carolina community. Police have yet to name a suspect or a person of interest in the homicide.

(Courtesy Town of Carey Police Dept. )

Jennifer Ball, Cooper's former fiance, also has her doubts about Cooper, according to an affidavit filed Oct. 13 in which she says Cooper "constantly belittled" her and was "emotionally detached" and "mentally cruel."

Similar claims of belittlement were made by Nancy Cooper's parents in a custody petition filed in July, according to court documents.

Cooper "engaged in a pattern of emotional abuse," frequently yelled at Nancy Cooper and belittled her in the presence of the minor children, according to the petition.

In her affidavit Ball also said that when her relationship with Cooper ended in December 1998, she "became fearful for her physical safety."

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Cooper's videotaped testimony -- the first time in more than three months that he has spoken on the record about his wife's murder -- gives details about where he was the morning of his wife's death. He also continues to maintain his innocence.

According to Cooper's testimony, Nancy Cooper went jogging at around 7 a.m. and when she hadn't returned almost two hours later he assumed that she was "punishing him" for not cleaning.

"I thought maybe she had been punishing me by not coming back because the floors weren't clean and weren't washed," Cooper said.

"I washed the floors with hot water and vinegar," he said in the testimony. "I was trying to make her happy as best I could."

Asked by investigators whether he had ever visited the area where his wife's body was found, Cooper said that he had not, adding that he didn't think she would run in that area.

Rosemary Zednick, a Cary resident, said in an affidavit obtained by ABCNews.com, that she was sure she saw Nancy Cooper jogging at 7:10 a.m. the day of her disappearance. Zednick said that there was "no question in her mind" that the jogger she said "hi" to was Nancy Cooper. Nancy Cooper's body -- clothed only in a sports bra -- was found by authorities two days later.