There is another James Campbell marriage in Newcastle in the right time frame. Dec qtr 1850. One of the possible brides is an Elizabeth Hutchinson.
Married Elizabeth Campbell is consistently on census as born Sadberge 1831/1832.
There is an Elizabeth Hutchinson baptism in Sadberge, 8 Jan 1832, daughter of William Hutchinson (Publican) and Mary. William and Mary had other children baptized at Sadberge, Jane 1827, John 1829, Ann 1834, William 1836, and Mary 1839.
Mary Jane Campbell (Williamson) is down as born Byker Hill 1851/1852 in 1871 census, and another census, and Byker in 1881 census.
The Hutchinson family have moved from Sadberge to Byker by at least 1851.
1861 census, 21 Byker Hill,
William Hutchinson, 64, Ag. Lab., b. Sadberge, Durham,
Mary Hutchinson, wife, 54, Long Newton, Durham,
Isabella Hutchinson, dau, 15, b. Gainford, Durham,
George Hutchinson, son, 6, b. Byker,
RG 9/3833/45/3
Two doors away is John Hutchinson, Tailor, 30, b. Sadberge, Durham.
This appears to be the same family in 1851, although claiming they are all born Gateshead for some strange reason.
Byker Lane, Byker
William Hutchinson, 54, Ag Lab, b. Gateshead,
Mary Hutchinson, wife, 44, b. Gateshead,
John Hutchinson, son 21, Tailor, b. Gateshead,
William Hutchinson, son, 14, b. Gateshead,
Margaret Hutchinson, dau, 8, b. Gateshead,
Isabella Hutchinson, dau, 5, b. Gateshead,
HO107/2408/202/62
William Hutchinson (Innkeeper) bachelor, married Mary Potts, spinster, by license, Sadberge 8 Nov 1827.
Elizabeth Campbell has a daughter, Jane H. Campbell, age 27, born Dudley, Northumberland, living with her in 1901. A birth on FreeBMD, Tynemouth, Mar 1873. Jane Hutchinson Campbell. Do a search for a person with that name in the census that can't be mentioned.
You could order James Campbell 1850 marriage cert, conditional on the bride being Elizabeth Hutchinson and not one of the others.
Alan.