In 1841 there doesn't seem to be any parents with this bunch
No relationships given in 1841 and just Y or N for whether or not born in county
HO107/piece 317/book 12/folio 32/page 14
Hewarth Terrace, Hewerth
George Stephenson 13
William 9
Isabella 5
John 3
All b in county.
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Looking in the International Genealogial Index (IGI) compiled by the Latter Day Saints there is
father: George Stephenson mother: Frances
all dates of christening
Susannah 23rd Sept 1821
Mary -- 15th Feb 1827
Jane - 11th Sep 1831
George - 30th Marh 1929
William - 13th July 1834
These are extracted records, so taken from the parish records, can be relied on . Assuming there's been no mistakes in transcribing.
But - can't work it out. Maybe there are two families in Heworth, one with Robrt as head, and one with George.
edit: Neither of these two lots of families 'fit' do they.