A tree on Ancestry has a Jacob Edmondson b 1832 Horsforth marrying a Sarah Ann Wade in 1854 & dying 1904 Northumberland. The tree shows his father as Edward & Edwards parents as Jacob & Sarah
Ancestry 1861 has him as Edmanson
That tracks back to the 1841 entry I mentioned above.
Sarah died 1848 & Jacob 1853. No obvious connection to Pateley Bridge