I'm not sure if I understand your message. Was is Levi or Lucy who was born 67/68?
The 1881 census on familysearch.org lists a Levi Barnett, 25, born Salford Oxfordshire. He was living in Cornwell with his wife Hannah, 22, and their 11 month old daughter, Mabel. Do you think there's a connection with your Levi?
Let me know if you want more info.
Hope this helps.