Thank you for your reply, but my query is with the mother's name. Should be CATHERINE YARRANTON, but the Certificates I've been given states the mother is CAROLINE HERRINGTON.
In one of my files it mentions from 1837 to 1869 Patching was in the Petworth district. If this is the case, perhaps I should be looking in the Petworth district for William's birth. There is a record in Free BMD for a William BUTCHER in Petworth district, volume 7, p.410.
Can anyone help me with this one?