In June 1863, Isaiah Golden registered for the US Civil War draft.  He is listed as 42 years old, worked as a cooper, and as having been born in New York.  The record indicates that he had no previous military service experience.

Transcript

Third Congressional District: New York, Kings, Brooklyn, June 1863, 8 S. 6^th Street:

GOLDEN, ISAIAH, Age 42, White, Occupation: Cooper, Born New York, No Former Military Service, No remarks.