The woman, Susheela, along with her husband, hired an autorickshaw in search of another hospital and she delivered the baby girl in the vehicle.
Kothamanagalam police were informed and the women police took the mother and baby to a private hospital.
Police sources said they rendered help to the couple and that the couple had not filed any complaint or case against the government hospital.
Health department sources said the district medical officer on Thursday visited the government hospital to inquire about the incident.
The official also visited the woman at the private hospital.