Hi Daryl,
Here is the Vernon readings for Regency Square, Brighton, 1851 census:
HO 107/1646 52 Norfolk Square, Folio 411
Sarah Vernon, head, widow, 55, Lodging Housekeeper, born Flayworth Notts
Ann Maria Wales, Grandchild, U, 9, Scholar, London
Sarah Jane Wales, Grandchild, U, 8, Scholar, London
Emma Long, Servant, U, 20, Domestic Servant, Pelworth
HO 107/1646 14 Silwood Place, Folio 339
Forbes Vernon, Pupil, U, 7, Scholar, Ireland
(listed above the students is Joseph Gill, Teacher of Classics)
I also checked the spelling "Verner" for you with the following results:
HO 107/1646 19 Silwood Place, Folio 341
Anna Verner, Head, Widow, 62, Annuitant, Ireland
James Verner, Son, U, 42, Annuitant, Ireland
Elizabeth Verner, Dau, U, 36, Annuitant, Ireland
Octavia Verner, Dau, U, 28, Annuitant, Jersey
I regret that your Stephen and Elizabeth Vernon were not found in Regency Square. This is the only census I have for Brighton.
John