possible, but not likely, that he is the son of Authur (b 1810), not Ochar (b 1791)

found in 1850 (family #61), 186080, 1870 and 1880 census
same 3 children in two latter censuses

1860 Acc census:
Edward Brinney 34 oystering
Elizabeth 39
Julia A. 13
William 11
James E. 9
Joseph 5
John 1

1880 census (family 323) shows:
Edw Brinney 54
Elizabeth Brinney 54
Joseph Brinney 26
Alfred Brinney 16
Ocker Brinney 13
William Miller 11, nephew

Married Elizabeth George when he was 55 and she was 50. Clearly the children were by his first wife, whoever she was, or long after they had children.

wife Elizabeth, widowed, is living with son Alfred’s family in 1900.