The other woman is said to have retaliated by falsely accusing her of insulting Muslims prophets and inciting violence.
Videos trending on social media shockingly showed a man trying to climb through a window before a door is forced open and a mob surges into a ward.
Tabitha was reportedly dragged to another floor where women in burkas are seen slapping her and beating her with a broom.
Doctors in white coats are also seen in the mob surrounding the terrified victim.
One medic yells in her face, apparently trying to make her sign a document, and another woman in a white coat is seen repeatedly striking her in the face.
“She commits blasphemy. We shall bury her,” a Muslim nurse called Nasreen shouts in the video, according to UCA News.
Others in the mob say: “Close the gate. Don’t let her escape. Beat her. Why did you speak of our religion? Rub your nose on the ground. Repent from Allah.”
Tabitha was also reportedly bound with ropes, tortured and locked in a room until she signed an apology, and then taken to a police station on January 28.
The local police chief let her go home, saying there had been a “misunderstanding” and there was no evidence she had done anything wrong.
But hours later officers registered a case against her for blasphemy after a mob of hundreds surrounded the police station.
Tabitha and her family have now been forced into hiding and given protection by the police, said the ICC.
The group’s William Stark said: “We here at International Christian Concern condemn the false blasphemy allegation that has been leveled against Tabitha Nazir Gill.
“In Pakistan, blasphemy allegations forever ruin the lives of the accused, even if proved to be false.
“We call on Pakistani authorities to thoroughly and fairly investigate this false allegation and bring the false accuser to justice.
“Pakistan’s blasphemy laws must no longer be allowed to settle personal scores or incite religious hatred. Too often these laws have been a tool in the hands of extremists seeking to stir up religiously motivated violence against minorities.”
Controversial blasphemy laws in Pakistan carry a potential death penalty.
Most allegations are against the Christian minority, who make up just 1.6 per cent of the population.
The ICC says false accusations are widespread and often motivated by personal vendettas or religious hatred.
Accusations are highly inflammatory and have the potential to spark mob lynchings, vigilante murders, and mass protests.