Taken from other post.
Can I please offer up a different family for William (until proved incorrect)
GILLS, ELIZABETH mmn SCOTT
GRO Reference: 1867 M Quarter in GATESHEAD Volume 10A Page 725
GILLS, WILLIAM mmn SCOTT
GRO Reference: 1876 S Quarter in HEXHAM Volume 10B Page 293
GILLS, THOMAS mmn SCOTT
GRO Reference: 1874 S Quarter in HEXHAM Volume 10B Page 282
GILLS, MATTHEW mmn SCOTT
GRO Reference: 1869 S Quarter in GATESHEAD Volume 10A Page 727
Parents
Marriages Mar 1865
Gill Joseph Newcastle T 10b 55
Scott Jane Newcastle T 10b 55
1881 census -West Wylam, Prudhoe, Hexham, Northumberland, England
ref: 5101 38 31
https://www.familysearch.org/ark:/61903/1:1:Q2WM-4M1L?lang=enSS