My only query about Robert (snr) death in 1892 is that the probate the beneficiary's name was Sarah Ward and not any members of his married family.I do believe that Sarah Ward is the Sarah Walsh, sister of Ann, shown in the 1851 census.
The 1871 as you mentioned:
https://www.familysearch.org/ark:/61903/1:1:VB8C-TTF1881:
https://www.familysearch.org/ark:/61903/1:1:Q271-VPBKMar 1853 Tynemouth 10b 216
LAMB George Henry
WALSH Sarah
1861:
https://www.familysearch.org/ark:/61903/1:1:M7XD-JJGDeath: LAMB, GEORGE HENRY 46
GRO Reference: 1861 S Quarter in SOUTH SHIELDS UNION Volume 10A Page 282
Sep 1866 S.Shields 10a 687
WARD Cuthbert
LAMB Sarah
Mar 1847 Tynemouth 25 373
WARD Cuthbert
TAYLOR Margaret
LAMB, GEORGE HENRY mm WALSH
GRO Reference: 1856 M Quarter in TYNEMOUTH Volume 10B Page 147
LAMB, MARY ANN mmn WELSH
GRO Reference: 1858 D Quarter in TYNEMOUTH Volume 10B Page 128
WARD, ALFRED ERNEST mmn WALSH
GRO Reference: 1869 M Quarter in SOUTH SHIELDS Volume 10A Page 675
WARD, ETHEL SARAH ANNIE mmn WALSH
GRO Reference: 1876 S Quarter in SOUTH SHIELDS Volume 10A Page 743
WARD, SARAH mmn TAYLOR
GRO Reference: 1850 M Quarter in TYNEMOUTH UNION Volume 25 Page 466
WARD, MARGARET TAYLOR mmn TAYLOR
GRO Reference: 1855 D Quarter in TYNEMOUTH Volume 10B Page 113
WARD, CUTHBERT mmn TYLER
GRO Reference: 1857 D Quarter in TYNEMOUTH Volume 10A Page 121
Jamjar