By 1870, the family was still living in Williamsburgh, in the 15th Ward. Isaiah, still working as a cooper, had amassed a personal estate of $700. Isaiah was listed as 46 years old and Mary as 38 years old, both of which do not align to a 10 year increase in their ages in the 1860 Census (as a result, both censuses only give a general ballpark for their age and derived year of birth). Emma and Isaiah were no longer in the home, as both either reach their majority and moved out, or were then deceased. However, there were still children in the house. Son Eugene was listed as age 12; however, since he was not in the 1860 Census, Mary was most likely pregnant with him in 1860, and his age on the 1870 Census is off by 1-2 years. He was born in New York and attended school. Daughter Mary was listed as age 11, and in her case, her age is most likely overstated by 1-2 years. She was also born in New York and attended school. Georgiana, age 9 (also overstated by 1-2 years), was born in New York and attended school. Harriet, age 7 (also likely overstated by 1-2 years), was born in New York, attended school, but could not read or write English. The youngest, Alfred, was age 2 and born in New York.
1870 US Federal Census, New York, Kings, Brooklyn, Williamsburgh, 15th Ward, 1 Aug 1870, Page 217, Dwelling No. 900, Family 1876:
GOLDEN, ISIAH [ISAIAH], Age 46, Male, White, Occupation: Cooper, Value of Personal Estate: $700, Born New York, Male citizen over age of 21;
GOLDEN, MARY, Age 38, Female, White, Occupation: Keeping house, Born New York;
GOLDEN, EUGENE, Age 12, Male, White, Born New York, Attended school;
GOLDEN, MARY E., Age 11, Female, White, Born New York, Attended school;
GOLDEN, GEORGIANA, Age 9, Female, White, Born New York, Attended school;
GOLDEN, HARRIET, Age 7, Female, White, Born New York, Attended school, Cannot read, Cannot write;
GOLDEN, ALFRED H., Age 2, Male, White, Born New York.
 $700 in 1870 is the equivalent of $206,000 in income value in 2017. https://www.measuringworth.com/uscompare/relativevalue.php
 Further research into their whereabouts in 1870 is required to confirm which option is accurate.
 1870 US Census: New York, Kings, Brooklyn, Williamsburgh, Ward 15, Roll: M593_956, Page 476A, Ancestry.com Operations Inc., 2009.