Just remembered, there was a home for 'unfortunate' girls in Gateshead called St.Faith's. I think it was in the Bensham area. Single mothers often went to a different area to have their babies, which would account for place of residence being different. (To keep the birth a secret )
I would still suggest obtaining an adoption certificate from GRO as it will identify the date and court where the adoption took place if he wants to find out what info the records hold.