I can't vouch for the accuracy of what you have posted so far, but I can tell you about generations earlier than Nicholas and Abigail. Nicholas' father was John Hosner [1778-1851]. He was born Dutchess Co, NY and died in South Cayuga Twp, Haldimond, Ontario, Canada. I know nothing of his wife.
John's parents were Nicholas Hosner [1743-abt 1820] and Fanny Nelson [abt 1750-abt 1820]. Nicholas was born Fishkill, Dutchess, NY and died Clarkson, Monroe, NY.