Verma started crying suddenly and complained of burning sensation in her leg. When her father checked her leg, it was bleeding.
The parents took the girl to a nursing home from where she was referred to GTB Hospital.
Doctors in the hospital at Dilshad Garden confirmed that she had suffered a gunshot wound, a police official said, adding that a case has been registered.
During questioning, Disha's father Neeraj told police that he is clueless as to how his daughter suffered gunshots while in car.
Disha's mother Dolly, brother Himanshu, sister Rism and grandmother Rani Devi, who were also in the car, also spoke on similar lines to police.