If the above George is the correct person, Mary was formerly Davis - four children according to trees and GRO index:-
BELL, JOHN mmn DAVIS
GRO Reference: 1854 S Quarter in BRAMPTON UNION Volume 10B Page 327
BELL, ELIZABETH mmn Davis DAVIS
GRO Reference: 1856 J Quarter in BRAMPTON UNION Volume 10B Page 346
BELL, MARY JANE mmn DAVIS
GRO Reference: 1858 S Quarter in BRAMPTON UNION Volume 10B Page 346
BELL, JOSEPH mmn DAVIS
GRO Reference: 1860 D Quarter in BRAMPTON UNION Volume 10B Page 343
1861 Census - Low Moor Lodge, Low Moor, Hayton, Brampton, Cumberland
Surname transcribed as Ball
George Ball Head Married 29 1832 Sawyer Hayton, Cumberland
Mary Ball Wife Married 39 1822 - Hayton, Cumberland
John Ball Son 6 1855 - Hayton, Cumberland
Elizabeth Ball Daughter 4 1857 - Hayton, Cumberland
Mary Jane Ball Daughter 2 1859 - Hayton, Cumberland
Joseph Ball Son 0 1861 - Hayton, Cumberland
In 1851, George is shown as the step-son of George Little who married Elizabeth Bell
Elizabeth Bell, daughter of Walter Phillips, married George Little, son of Thomas, in Stapleton on 2nd November 1844
Elizabeth Philip married John Bell on 4th December 1830 in Kirklington
George Bell, son of John and Elizabeth, baptised in Hayton by Brampton on 12th June 1831
1841 Census - Holling Stone, Brampton, Cumberland
John Bell Male 35 1806 Cumberland
Elizabeth Bell Female 35 1806 Cumberland
George Bell Male 10 1831 Cumberland
William Bell Male 8 1833 Cumberland
James Bell Male 6 1835 Cumberland
John Bell Male 4 1837 Cumberland
Sarah Bell Female 1 1840 Cumberland
John Bell buried on 30 Dec 1842 in Brampton.
David