I think the family emigrated later than you think!
Found this in 1891:
Reference RG12, Piece 4049, Folio 150, Page 41
16 St Johns Place, Stockton On Tees, County Durham
Johnson, Thomas Head M 37 Stationary Engineman b Haydon Bridge
Johnson, Eleanor Wife F 29 b Newsham
Johnson, Margaret Daughter F 9 Scholar b Haydon Bridge
Johnson, George Son M 8 Scholar b Haydon Bridge
Johnson, Matthew Son M 6 Scholar b Newsham
Johnson, Eleanor Daughter F 4 b Stockton, Durham
Johnson, Jane Daughter F 2 b Stockton, Durham
Johnson, Minnie Daughter F 1 b Stockton, Durham
All, except last 3 born in Northumberland