Can't see William as yet in 1851 to see where he was born, but the three children Fanny, Louisa and Barbara are with their aunt Mary FUNNELL in St Peter, Brighton - HO107; Piece: 1645; Folio: 139; Page: 10 - Indexed as AZCOTT.
From the Sussex Marriage Index
Hellingly, East Sussex, 28 Feb 1837
Mary AUCOTT
James Cropper FUNNELL
Mary FUNNELL was aged 34 and her birthplace given as Hellingly in 1851, birth year about 1815-16
Ian C