Bill
It seems quite common for North Walians to marry in Liverpool in that era - the draw of the city.
There is an 1851 census for all the country but sadly at the moment it is not available on CD or the internet. I saw on Rootschat that it may be on Ancestry.co.uk in the near future. There are I know some parts of both counties that are missing but have a feeling your area is unaffected.
I originally come from Denbighshire and Stoke-on-Trent where I live now is over 1 1/4 hours away so any rare visit I make is regretably only for my own and my wife's use ( I have such a lot to do!!) - there is no index available for the 1851 census so it is a slog looking through film. There may be a more local Rootschatter member prepared to do a look up. I have a William Williams in my ancestry (from Dolwyddelan which is sometimes Caernarvonshire and sometimes Denbighshire) so I know the difficulties with the surname.
I have just had a further thought and looked on Northwales BMD which produced the following:
North Wales Birth indexes for the years: 1845
Surname Forename(s) Sub-District Registers At Reference
WILLIAMS Ebenezer Mold Flintshire MOLD/06/45
WILLIAMS Ebenezer Wrexham Wrexham C.B. WM/006/4
North Wales Birth indexes for the years: 1846
Surname Forename(s) Sub-District Registers At Reference
WILLIAMS Ebenezer Llanrwst Conwy C.B. - Llandudno RWST/04/46
This again is not fully transcribed but is something to follow up. The web site is:
http://www.northwalesbmd.org.uk/bmd_welcome.htmlBest wishes
Petereej