"He had such a big sex drive and wanted it fulfilled," Lawton told News of the World.
"I guess I was giving him what his wife wasn't. Tiger is so used to getting his way. What Tiger wants, Tiger gets," she said.
Lawton said she stopped hearing from Woods two years ago when his wife Elin Nordegren gave birth to the couple's first child, a daughter named Sam.
Calls to Lawton by ABC News.com were not returned.
Blonde bombshell Cori Rist, a 31-year-old Manhattan clubgoer, and Jamie Jungers, 26, a lingerie model were both named by tabloids over the weekend as also engaging in affairs with the golfer.
According to the New York Daily News, Rist met Woods at New York City hotspot Butter last year and have continued an affair since. She has a 7-year-old son.
Jungers, 26, who has modeled for the lingerie line Trashy Girls, reportedly met Woods just months after his wedding when he invited her to join his VIP table at the Bellagio hotel in Las Vegas.
Jaimee Grubbs, a Las Vegas cocktail waitress, was also named by Britain's Mirror and is reportedly selling the story of her affair to a yet unnamed tabloid.
From there the couple spent the night at the MGM Grand Mansion hotel, kicking off a months-long affair, according to the Mirror.
As Woods was reportedly cheating on his wife, Jungers was engaged at the time to businessman and Woods fan Derek Schmidt.
"On the night Jamie met him for the first time, I had just bought the new Tiger Woods computer game. The following morning she told me she had met Tiger Woods and he gave her his number – and like an idiot I got really excited about it," Schmidt told the Mirror. "I knew Tiger had come on to her and asked for her number. I knew that he called her whenever he came to Las Vegas. But she insisted that nothing was going on."
Tabloids have now reported the existence of three other unnamed women. One, a 26-year-old waitress from Orlando, has hired lawyer Michael O'Quinn and claims to have had a two-year affair with the golfer but has not yet come forward publicly.
Another anonymous woman is allegedly a London-based British broadcaster, who is married. The third has been described by the British tabloids as a "cougar," or older woman, according to FOX/
Those women join the three others whose names were made public last week – Jaimee Grubbs, 24, Kalika Moquin, 27, and Rachel Uchitel, 33.
Of those women, only Grubbs has come forward to admit an affair. Moquin will neither confirm nor deny a relationship and Uchitel has denied an affair.
Grubbs' admission and the release of the voicemails prompted Woods to release a statement on Dec. 2, vaguely apologizing for "transgressions" and has not commented on any of the allegations since.
I have let my family down and I regret those transgressions with all of my heart," said Woods in the statement. "I have not been true to my values and the behavior my family deserves.
"I am not without faults and I am far short of perfect," said Woods. "I am dealing with my behavior and personal failings behind closed doors with my family. Those feelings should be shared by us alone."
Moquin, alleged by Life & Style magazine to be carrying on an affair, with would not comment when reached by ABCNews.com.
The tabloid reported that Moquin, a Missoula, Mont., native met the golfer at the Bank, a nightclub at the Bellagio hotel where she works as a marketing executive.