There's a Theophilus "Hamphil" Caddick on the 1851 census - doesn't look like Alfred on the image either but very hard to read - b 1850 in Dudley. Is this the family? : -
Joseph Dixon Caddick, 44, brush maker b Dudley
Lydia 50 b Dudley
John 8 son b Dudley
Theophilus Hamphil 1 grandson b dudley
Ref H0107/2032/487/55