I'm now reasonably convinced that "White Rock" is a 'red-herring'. There is no such place. It's probably a poor transcription of bad handwriting? "Rock" is likely to be "Rhos" with the "White" being a district of Rhos?
Hugh Davies and Anne Dodd were married on 8 Nov 1834 at Ruabon Parish Church. The witnesses were Robert Davies & Hannah Jones. (BMD Certificates were only introduced in 1837, so there won't be one).
On the 1851 census they are living at "Street Rhos" (but poorly written, so possibly your "White Rock"???), however, Hugh does give his place of birth as Wrexham parish, not Ruabon.
Clwyd FHS have currently published 19 volumes of Ruabon Parish Records and a further 5 for Rhosllannerchrugog (which became a separate parish in 1853).
But the family appear to have been nonconformists, as their daughter Mary was born on 12 Dec 1836 and baptised 26 Feb 1837 at the Calvinistic Methodist chapel (Capel Mawr) in Rhos. The register states that the family lived at Pen y Street in Rhos; Ann Dodd was born in Gresford parish; Hugh Davies was born in Wrexham parish.
These registers have only been published up to 1837.
'Street Rhos' was the area to the west of the present Church Street and 'Pen y Street' is now part of Church Street.