That's a start. If Justine was born in Queens in 1921 he was already in the US by 1921, married to Katherine probably by 1920, and possibly would be found in Queens in 1920 but in the NY area certainly.
Are you sure about his death date? There's this in 1930 (index only, I don't have full access, ask on the 'emigrants to US' forum here.
New York County, New York:
James Hayward, 1881, b. England
Catherine, 1880
James, 1912
Helen, 1916
Mary, 1916
Robert, 1917
Frederick, 1919
Jestina, 1922
Mar 20, 1922, arriving from London on the Centennial State:
Catherine Hayward, 43
James, 9
Beatrice, 6
Helen, 6
Robert, 4yrs8M
Frederick, 2yrs4M
Jessie, 9M
Relative in England Catherine's father in law and grandfather of the children, Robert Hayward, 67 North Street, Plaistow, England.
Going to join husband/father J. Hayward, 118 West 47 Street, New York.
This family is also listed in NY in 1920 as Haywood:
James, "Cathine", James R, Helen, Mary B, Robert, Frederick.
There is on
http://www.stevemorse.org/vital/nydeath.html, a possible death record in Manhatten for a James A. Haywardaged 49 years April 30 1930 (the census was taken April 1/2 so he would have been recorded but died soon after).
There's a James Arthur Hayward on
www.ellisisland.org coming through in 1922 that would match.
A possible match for him is James Arthur Haywardregistered Lambeth registration district, volume 1d page 160 Dec quarter 1880 (Oct/Nov/Dec 1880).
On the 1881 census this James does indeed have a father Robert:
26 Cavendish Grove, Lambeth, Surrey (
www.familysearch.org)
Robert Hayward, 28, b. W. Grinstead, Sussex, Blacksmith
Ellen, 24, b. Andover Hampshire, Dressmaker
Frederick C, 4, b. Andover, Scholar
Percy W, 2, b. Islington
James A, 5M, b. Lambeth
By 1901 two of these sons have left and Robert may have been remarried (or Eleanor/Ellen's age is wrong)
St George The Martyr
Robert Hayward, 48, b. Sussex West Grinstead, Shirt Collar Dresser
Eleanor, 36, b. London Walworth
Percy, 22, b. Holloway, Bus Conductor
Eleanor C, 15, b. Southwark
Do you have the birth certificate of Justine, and does it give a middle name for James? Or at least an occupation you can match up with the 1920/1930 census and immigration records.