Whilst not your couple, i think given the names and location, there's a fair chance this family is related to Edward. They are part of a large group living in tents on Mitcham Common
Philip Dixey 40 - hawker b Blackheath
Lydia Dixey 40 - b St ALbans
Sophia Dixey 20 - b Barnes
Ada Dixey 14 - b New Cross
Philip Dixey 6 - b Old Kent Road
Elizabeth Dixey 12 - b Battersea
Deliah Dixey 11 months - b Epsom
RG11, 826, 149, 37
Phillips Dixey married Lydia Smith in 1860 in Molesey. his father was Edward Dixey, a hawker. hers William Terrant Smith, basket maker