Hi Hely
Oh My gosh - first try.....

this looks good (but adds more mystery!)
Googled "Eastgate Street Census 1901 Staffordshire" (without quotes)
Hit for Isaiah & Ada Buckley on ref: RG13 / Piece: 2571 / Folio: 15/ page 22 - living at 4 Copes Building, Eastgate Street, Stafford (on a 2007 Rootschat topic, too!)
Into 1901, search SMITH with that Piece & Folio nr....
And find the following on the the page before the Buckley's, carrying over to the same page they're on....
1901: 2 Copes Buildings, Eastgate Street, Stafford (St Mary)RG13 / Piece: 2571 / Folio: 15 / Page: 21 & 22
Head: Louisa SMITH 57, widow, Charwoman, b Newent, Gloucestershire
Boarder: Robert WINFIELD 57, wid, Tailor, b Birmingham
Boarder: Robert WINFIELD 11, b Stafford
Then:
1891 2 Copes Building, Stafford (St Mary), StaffordshireRG12 / Piece: 2138 / Folio 139 / Page 17
Head: Louisa SMITH 46, widow, Charwoman, b Newent, Gloucestershire
Dau: Annie L COOK 24, single, Paste Filler - Shoe Trade, b Newent, Gloucestershire
Dau: Alice M COOK 21, single, no occupation, b Newent, Gloucestershire (diability: Chorea)
Son: Harry J COOK 16, single, Baker, b Llanwarne, Herefordshire
Dau: Louisa A SMITH 12, Scholar, b Stafford
Son: William E SMITH 10, Scholar, b Staffordhttp://en.wikipedia.org/wiki/Choreia_(disease)
And:
1881: 3 Bell Yard (probably off Foregate St), Stafford St Mary, StaffordshireRG11 / Piece: 2689 / Folio: 74 / Page: 22
Head: Louisa SMITH 36, marr, Charwoman, b Newent, Gloucestershire
Dau: Annie L COOK 16, b Newent, Gloucestershire
Dau: Louisa A SMITH 2, b Stafford
Son: William E SMITH 6mths, b Stafford(missing dau Alice and son Harry here)And baby William E age 6 months as at 3 April 1881 (the date of the census....
....gives approx birth of Oct 1880

Cheers
AMBLY