Hi Carolew
It is possible that he was born outside of the district. As mentioned I believe that Anne ( or Ann Smith ) was his mother and I have the census showing her living with her family in 1871 - aged 8 and born in Berry Edge. However, she is not showing on the 1881 census with the family - but she seems to return in 1891. It just seems a coincidence that the family story suggests she had a baby and she left the household and then returned, and then there is a Roland living in the household. Unfortunately her age differs on some of the census forms and her name is shown as either Ann, Anne or Annie so I have not found her on the 1881 census which may have given some clue as to where she was living and where Roland may have been born.
kind regards
Anne