(CNN) -- A North Carolina woman is alleging that "American Idol" winner Fantasia Barrino engaged in an affair with her husband, and says in court documents that the pair "recorded" their sexual encounters. Paula Cook, who separated from her husband, Antwaun Cook, in June, filed the documents -- seeking child custody, alimony and other monetary support -- Wednesday in Mecklenburg County District Court. The documents allege Antwaun Cook began the affair with Barrino, 26, in August 2009 after the pair met at a Charlotte-area T-Mobile store where Cook is employed. Barrino -- the 2004 winner of the popular Fox show and an eight-time Grammy nominee -- treated Cook to a lavish lifestyle over the course of their affair, flying him to Atlanta, Georgia; Miami, Florida; New York; Los Angeles, California; and Barbados, the documents allege.
@highlight
A North Carolina woman says Fantasia Barrino has had a relationship with her husband
@highlight
The couple are accused of recording sexual encounters, court documents say
@highlight
Barrino, 26, was named "American Idol" in 2004
@highlight
She declined to comment on the allegations
Barrino has appeared publicly with a tattoo on her left shoulder reading "@placeholder," an apparent tribute to Antwaun Cook, who is said to have a similar tattoo in the same place on his shoulder, according to the documents.
@placeholder is seeking custody of her two children, ages 6 and 2, with Antwaun Cook, as well as child support, alimony, attorney's fees and ownership of the couple's former marital home.