Loretta
Guess you have them in 1851 living at 43 Barbican, Cripplegate, Simon being a Beer shop keeper. Elizabeth the daughter 3mo old.
Thomas JB who was in the Navy in 1881 then gives his birthplace as Covent Garden.
From IGI
Elizabeth Brighty WALKER, born 23 Dec 1850, bapt 8 Jun 1851, St Giles, Cripplegate, parents Simon and Elizabeth
Thomas John Brightey WALKER, born 3 Jan 1853, bapt 10 May 1868, St Mary Magdalene, Woolwich, parents Simon & Elizabeth
James Gouldy WALKER, born 23 Dec 1855, bapt 10 May 1868, St Mary Magdalene, Woolwich, parents Simon & Elizabeth
Can't find them in 1861, but there are some parts of Middlesex missing for that year. Not sure which areas though.
Ian C