Going by birth place.... this would likely be James' mother - Gordon Street not far from Hammond Street in Preston.....
England and Wales Census, 1881
Name: Ann Gregson Age (Original): 50 Gender: Female Birth Year: 1831 Birthplace: Bowland, Yorkshire, England Relationship to Head of Household: Head Marital Status: Widow Occupation: Keeps Bakehouse Address: 101 Gordon St Event Place: Preston, Lancashire, England Record Type: Household Affiliate Publication Number: RG11 Piece/Folio: 4232 / 142 Page Number: 4 HouseholdRoleGenderAgeBirthplace Ann GregsonHeadF50Bowland, Yorkshire, England Ellen SimpsonLodgerF30Preston, Lancashire, England
Possible death of husband -
Deaths June Quarter 1880 GregsonJohn50PrestonVolume 8ePage 372