The police have issued an urgent appeal to try and locate the mother, who they say is likely to be in a very distressed condition.
Inspector Mark Gee, North Yorkshire Police, said: “Inquiries are at a very early stage and our primary concern is to locate the mother of the new born baby girl to ensure that she receives urgent medical care.
“It is highly likely that the mother is in a very distressed state and needs professional support.
“We urge her to contact the police or medical staff as a matter of urgency as her health and wellbeing is the priority.”