The perpetrators allegedly yelled at their victim, "You raped her!" He responded, "I didn't do that, I didn't do that."
But the pair believed Williams, and continued to punch the victim, McGinnis said.
The victim was then "violated with the mop stick repeatedly over time," undergoing nearly 24 hours of torture, according to the victim and police.
Williams, of Church Street near Penn, and the 16-year-old, of Granite Street near Torresdale Avenue, were arrested and charged with aggravated assault, robbery and related crimes, McGinnis said.
Police have a warrant out for Aiken, 20, of Moyamensing Avenue near Moore Street. Authorities ask anyone who knows of his whereabouts to call Northeast Detectives at 215-686-3153.
McGinnis said that police still don't know why Williams came up with the plan. She gave a rape motive to acquaintances, Aiken and the teen, but never told any friend that she had been raped, he said. She did not report it to Philadelphia police, he said.
The victim told police that he never raped her, but that the two had argued the week before.
Williams told a few friends that the man had threatened to lay hands on her, McGinnis said, but the victim denied this as well.
"She was apparently really mad at him," McGinnis said.
About 10 p.m. Sunday, Williams called her sex partner of six months to her Frankford home and enticed him with sex, McGinnis said. While they were having sex, she excused herself to let in the two males, McGinnis said.
Aiken and the teen rushed in and apparently began to beat up the Northeast man with their bare hands, but it escalated from there.
At some point the males tied the man to a sofa with extension cords and began to strike him with the wood plank, electric cords and a mop, the captain said.