"Next thing we knew, my daughter was just unconscious on the floor," she said.
"I was just screaming, crying for help," Ms Logan continued. "I thought she was dead."
Ms Logan said that Lily's injuries included a broken jaw, a split tongue and four breaks in her spine, which meant that she cannot be moved from hospital.
Her eye was also "gashed open" and her teeth were "wobbly" and would need replacing, she said.
Doctors told her that Lily had also suffered a bleed on the brain but a scan later confirmed that she had no serious head injuries.
Ms Logan had not taken out travel insurance meaning the family has now been left to foot the bill for Lily's medical care.
It has so far cost £7,200, which Lily's father has paid, but the back and jaw surgery would add an extra £45,000.
Ms Logan said her family does not have the money, with Lily set to have the surgery on Monday.
Her mother said she would pay a deposit for the operation beforehand but would need to pay the full charge before Lily was able to leave hospital.
Lily's family have set up an online fundraiser to try cover the costs.
