Do your relatives notes give a baptism for James
I have just had a look and she gives a burial date of - 21 Mar 1848 - at the age of 42 in the IoW.
So we know that his mother's name was Hanna b. 1787 according to 1841, 1851, Census for the IoW (with a query on the maiden name of Draper) and, according to my relative, the father was William Hayden. Her d. 04 AUG 1862, she is listed in Ancestry.
In the 1851 Census, she is listed as living with her 4 Grandsons and one granddaughter. Her other 3 granddaughters were living with their mother Jemima at another address. no sign of James which ties in with his death in 1848. However, in the 1841 census, she is living with her daughter-in-law and children but no James.
https://search.findmypast.co.uk/record?id=GBC/1851/0006472105https://search.findmypast.co.uk/record?id=GBC/1851/0006472111