How is he ADOS when he was born in Haiti?
He wasn't. He was from the West Indies. He immigrated in as a Free Person of Color -- but was also listed as "White" on his immigration papers. So, who knows. It sounds like he passed as White at times. Or because he wasn't a "negro" -- he was treated better -- as he was married to a White woman he immigrated over with.
Unlike many black millionaires who succeeded him, Hamilton avoided contact with other African Americans and maintained his business dealings exclusively with whites. For many years, however, his best friend was Benjamin Day, the founder of the New York Sun newspaper.
Hamilton’s much younger wife, née Eliza Morris, who was white bore him eight children. One of the Hamilton family homes was a rural 270-acre estate in New Jersey that featured a 10-bedroom house, ballroom and terrace, two trout streams, a fish pond, and quail.
Benjamin Day:
Benjamin Day (publisher) - Wikipedia