In the 1850 US Federal Census, Isaiah Golden is not listed in the New York area. However, an Isaac Golden is listed in Ohio.  In other census records, Isaiah had been erroneously noted or transcribed as Issac.  The age is correct to match the Isaiah Golden from New York, and the occupation was as a Cooper.  It is also noted that his birthplace was New York.  Living in close proximity (next residence) was a John Golden, age 31, appropriately aged to be a brother or cousin.  He worked as a farmer, and was also noted as having been born in New York.  I currently have not other record of a brother named John, and I don’t have any details about the children of his uncle, Ephraham Golden.

According to the census, Issac [Isaiah] Golden was living in the home of John and Catherine Haylan in Green Township, Hamilton County, Ohio.  John was also a Cooper, age 21, and had been born in Ohio.  Catherine was age 22 and had been born in Ohio.  They had been married within the year, and had an infant daughter, named Sarah.

Transcript

1850 US Federal Census: Ohio, Hamilton, Green Township, 7 August 1850, Dwelling No. 375, Family No. 377,
HAYLAN, JOHN, Age 21, Male, Occupation: Cooper, Born Ohio, Married in the Year;
HAYLAN, CATHERINE, Age 22, Female, Born Ohio, Married in the Year;
HAYLAN, SARAH, Age 1, Female, Born Ohio;
GOLDEN, ISAAC, Age 26, Male, Occupation: Cooper, Born New York.