William must have been the youngest son?
From 1861 census
Reference RG09, Piece 2377, Folio 5, Page 4
Agricultural Labour Cottage, Brinkhill, Lincolnshire
Taylor, Richard Head M 63 Ag Lab b Gayton
Taylor, Martha Wife F 55 Formerly House Maid b Gouldsby
Taylor, William Son M 10 Ag Lab b Croft
And from 1851, reference HO107, 2109, 270, 28
Bank House, Croft
Taylor, Richard Head M 53 Ag Lab b Gayton le March
Taylor, Martha Wife F 44 b Gouldsby
Taylor, John Son M 14 Ag Lab b Croft
Taylor, Christopher Son M 12 Scholar b Croft
Taylor, Mary Daughter F 10 Scholar Sunday b Croft
Taylor, Eliza Daughter F 8 Scholar Sunday b Croft
Taylor, Matilda Daughter F 5 b Sutton
Taylor, Elizabeth Daughter F 3 b Trusthorpe
Taylor, William Son M 8 months b Croft