Many rural roads do not have names, This is one. St James is just the hamlet of houses to the north. Church Lane is the street name for houses off that service road.
After thorough research through highway maintenance logs, and on-site surveys of actual signage, this section of road has no official name.

Church Lane, as was, was bisected by the motorway when constructed as evident by cadastral parcels, and the new alignmenet over a bridge built, the remaining stubs are still technically Church Lane but not signed.