Adoption back then was informal - no papers or legal work involved.
Looking At Elizabeth Hindhaugh's in Northumberland, there are a couple of likely candidates?
RG11, 5102, 53, 12 has a 21 year old General Servant Domestic, born Durham, living in Corbridge.
RG11, 5059, 102, 17 has a 31 year old Servant Cook, b Felton, in Ellison Place, Newcastle
Otherwise it's 39 years old and older, I think!
Wonder why the baptism in Chevington?