My connection to the Balch family is via my grt granny Kathleen (Kate) Balch daughter of Nehemiah Balch who marriied a Mary Balch was it coincidence or were they cousins?

Nehemiah Balch born 1829 South Brewham Somerset (son of Nehemiah Balch and Mary Hurley )married Mary Balch b 1836 North Brewham Somerset
Marriage*1863=Wincanton Somerset
Children of Nehemiah and Mary:-

William John Balch 28 Feb 1864 s/o Nehemiah Balch,Mary Balch Radipole
Mary Balch 15 Oct 1865 d/o Nehemiah Balch,Mary Balch Radipole
George Balch 18 Jan 1867 s/o Nehemiah Balch,Mary Balch Radipole
Kathleen Balch 19 Jan 1868 d/o Nehemiah Balch,Mary Balch Radipole
Stephen Balch b 1870 Radipole died 1871 Radipole Weymouth.
Census*1851 Weymouth
BALSTON, Catherine Head Widow 62 b 1789 Lady & Landed Proprietor Portesham, Dorset
Edith Harris 62
Sophia Roberts 27
Charlotte Fountain 21
Elizabeth Morey 24
Hannah Gilland 18
Nehemiah Balch 22 Servant/coachman
John Critchell 35
Catherine Balston 72
Jane Lord 56
Edith Harris 72
Charlotte Towntain 30
Mary Gill 20
Mary Wilkins 28
Maria Charles 18
Georgiana Parmiter 17
Nehemiah Balch 30 Servant/coachman
Alfred Groves 19
1871*Radipole Weymouth
Mary Baulsh 34 Widow (Mary lost her son and husband in 1871)
William J Baush 7
Mary Baulsh 5
Kate Baulsh 3 (Married George Cuff)
Steven Baulsh 10 Months (died not long after this census was taken)
1881*South Brewham, Somerset
Solomon Green abt 1840 Bruham, Somerset, England Head
Mary Green abt 1838 Bruham, Somerset, England Wife
Kate Balch abt 1868 Weymouth, Dorset, England Step Daughter
Ida M. Howard abt 1880 Bruham, Somerset, England Boarder
1891*South Brewham, Somerset
Solomon Green 52
Mary Green 54
1901*South Brewham, Somerset
Solomon Green 67
Mary Green 62
CUFF, George Percival Head Married 49 1862 General Labourer Shapwick Dorset
CUFF, Kathleen (Nee Balch) Wife Married 24 years 42 1869 Weymouth Dorset
CUFF, Annie Elsie Jane Daughter Single 20 1891 Brixham Somerset
CUFF, Rose Marion Daughter Single 18 1893 Parkstone
CUFF, Daisy Ida Daughter Single 16 1895 Parkstone
CUFF, George Percival Son Single 12 1899 Parkstone
GREEN, Mary Mother Of The Wife Grandma Widow 75 1836 Parkstone