Bill Cosby Accuser Jennifer Thompson: One of the Teens He Had Sex With was Me

Two days before Bill Cosby was ordered to trial on allegations he drugged and sexually assaulted a woman in 2004, a document re-surfaced in which he admitted having sexual contact with teens sent to him by a modeling agency.

Jennifer "Kaya" Thompson, who spoke with PEOPLE exclusively in 2005, confirms she was one of those teens.

The document, which was re-released Sunday by the Associated Press includes portions of Cosby's depositions from 2005 and 2006 in a long-settled civil suit.

During those depositions, Cosby was asked about an unnamed aspiring actress and model he met when she was 17, and he acknowledged that an agency would send "five or six" models each week to the studio where he filmed The Cosby Show. His contact with the young woman – which Thompson says is her – continued as she became 18 or 19.

Q: On a later occasion you had her masturbate you with lotion. Did that ever happen?

A: Yes.

Q: (She) used the lotion to rub your penis and make you ejaculate?

A: Bingo.

That the young woman in question is Thompson was confirmed by Thompson herself and a source who separately verified Thompson's identity for PEOPLE as the individual in that encounter.

(The deposition record also describes encounters between Cosby and Therese Serignese, who earlier told PEOPLE exclusively that she was 19 when she met Cosby in Las Vegas in 1976. He says in the deposition that he gave her quaaludes before they had sex. Serignese is currently one of three women who have filed a libel lawsuit against Cosby.)

Thompson first told her story to PEOPLE in 2005 as part of the magazine's investigation into early allegations made against Cosby. At the time Thompson was "Jane Doe No. 2" in a civil suit brought against Cosby by Andrea Constand, the former Temple University employee who alleged he drugged and assaulted her in 2004. Constand's claims are at the heart of the current criminal case against Cosby that is unfolding this week in Montgomery County, Pennsylvania.

Thompson, now 45, went public with her story as Jena T. in November 2014 – and then, to bolster her credibility, revealed her full identity via PEOPLE four months later.

"I decided to speak my truth," she said at the time. "I would rather go to bed at night knowing that I've been honest."

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Thompson's detailed account described how, in 1988, she took a day trip to New York City on a whim from her home in Maryland, walked into a modeling agency, and that same day was sent to meet Cosby.Cosby called her startled mother on the phone, encouraged Thompson's move to the city, and later had Thompson and her parents to dinner at his home. Both Thompson and her mother Judith, who died this year, said he assured them he would help with her career and keep watch over her.

Within days of her subsequent move to New York, however, Jennifer Thompson says Cosby's attention became more than paternal. Much, much later, after her withdrawal from him and retreat back home, she returned to confront him a final time.

"He knew on some level that I was probably ready to give in," she told PEOPLE in her original interview. "I'm allowing the rubbing. He put his leg between my two legs, but I wasn't excited. But I knew that that was the point – I had to get him excited."

She claims Cosby told her where to find lotion in the house. "I'm like a robot, and that is what I became, and that is what I did for him," she said. "I'm sure he fixed something to drink. He knew that I was ready to submit. The whole thing was like – I just knew that I gave him a hand job."

Before she left, Thompson says Cosby gave her $700. That experience and its long buildup left her with trust and self-esteem struggles that lasted for decades, she says.

At the time "Jena T." first went public, Cosby attorney Martin Singer dismissed her then-anonymous account as "unsubstantiated." Thompson, who lives in Florida, has never brought a civil or criminal complaint of her own against the entertainer, but she is now among more than 50 women who've since raised allegations against him.

With Cosby in court now in the Constand case, Thompson tells PEOPLE she's "pleased" the judicial system has taken up the matter. "There should be a jury of peers, a judge, and laws to apply surrounding actions of harm against another being," she says.

Cosby has denied Constand's allegations, saying the sexual contact between them was consensual. He has also denied similar allegations from more than 50 women.

Thompson adds: "I am determined to continue to be honest and forthright regarding my experiences at 17 years of age (and the following decades) surrounding this public figure. I now realize that the beings that I am helping the most are the ones who are still silently suffering (victims of another) and I will not get any applause from them readily, if ever. For them I will be grateful for this walk."

She adds: "In a humble manner, having just lost my very dear and supportive mother, I am moving forward with my eyes on the horizon."

Reporting by NICOLE WEISENSEE EGAN