Here's a family to consider for 1871 - unfortunately lots of initials, rather than full names, but "N" could be Noah.
RG10/796; Folio 22 Page: 36
William St, Carshalton
Mary A Gardner - Head - Wid - 44 - Hawker - b. Deal, Kent
N Gardner - Son - 20 - Labourer - b. Som Wells, Kent (?)
Thos Gardner - Son - 18 - Sieve Maker - b. Hadlow, Kent
E Gardner - Dau - 14 - Sieve Maker - b. Essex
Wm Gardner - Son - 11 - Scholar - b. Essex
Geo Gardner - Son - 9 - Scholar - b. Croydon, Surrey
L Gardner - Dau - 7- Scholar - b. Carshalton
Jane Gardner - Dau - 5 - b. Carshalton
Ada Gardner - Dau - 5m - b. Carshalton
M Harn(?) - Visitor - 39 - Sieve Maker - b. Maugey, Suffolk
Ed Harn - Son - 7 - Scholar - b. Brentford, Middlesex
In 1881, Mary Ann and the younger children are at Little Wrythe Lane, 1 St James Rd, Carshalton, living with a PENFOLD family. (MA's birthplace now Croydon!)
Rambler