I am searching for somebody who has given their place of birth on the 1881 & 1891 census as Compton, and whose birth certificate states they were born in Henbury.

I know that Henbury & Compton Greenfield are a part of the Clifton registration district but am unable to find Compton Greenfield in the copies of the 1851 & 1871 census that I have. My man has not been found in Henbury so I am wondering if there is another name for Compton (Greenfield) or which places are closest and would be a good place to start searching.

Thanks
Rona