Ozzy's line remained in Great Britain.* I most likely descend from the ones who sailed into Dorchester, MA in the early 1600's.
But wait, it gets worse. Besides shifting spellings, the full menu of stumbling blocks to research:
Beginner level record keeping. New York state was just getting set up about the time Henry was born, in 1814 or 1816 or 1818. Born somewhere, not known. It might have been Connecticut, which was up and running in fine civilized fashion by then. Those Puritans knew how to keep accurate records. Not so New Yorkers. They were still arranging treaties. Making grids. Naming counties. What shall we call this? They'd had a French and Indian War, they'd had an American revolution, they'd had a War of 1812. They were still spinning. And communication was by horse.
Home births. What hospitals. Who's going to report in to authorities. What authorities. Where. Decades later, you say you were born four or five years later than you were? OK. Like you care about family researchers 200 years in the future.
Post office addresses. Pretty hit or miss for a while. People were still discussing, do we have a town here or what. Do we have a school? Is that what it takes? In 1789, the original settlers of an area a couple miles and three o'clock to the foot of Conesus Lake decided that their place would be called Livonia. But 3.5 acres of the land Henry farmed was much closer to South Lima. AKA, Goose Island.
* Henry Osborne spelled his name without the e whenever he felt like it. So did his son, Charles. Henry's grandson Harry dropped the e. Henry's great-grandson Charles grew up without the e, then went into the army, where there was another Charles Osborn. So my father put the e back on.
Although my father was mainly known as Chuck, he was also known as Oz. Sometimes his friends called him, affectionately, Ozzy. Technically I'm telling the truth when I say that yes, I'm related to Ozzy Osborne. (Our father was Big Oz. My sister was little Oz. I was middle Oz. My mother was Dot.)