Lydia Ann Fairbrother's parents were John Fairbrother and Mary Anne Thatcher. I actually have her born in 1833, same date. I have their marriage date October 19. I have her father John born January 19, 1801 in Vestal, Broome, New York. I have her mother Mary Anne born in Vermont in 1808 and dying in Iowa after 1870. I have John and Mary Anne married about 1824 in Vestal. I have Lydia's siblings as Hiram, born February 4, 1830, Adelia Samantha born October 6, 1831 in Vestal, Emma Jane born August 1, 1835 in Vestal, Maria A. born August 27, 1837, Flora Eleanor born January 07, 1839 in Vestal, Anavilda born August 15, 1840, Sarah C. born 1844, Abaither (male) born October 4, 1848, John born 1849, Cyrus M., born 1852, and possibly Minor, Bertha, and Cordelia.
Generation above that. John's father was John and his mother was Mary Nye. John was born in April of 1770 in England, he died September 7, 1838 in Vestal. His wife Mary was born in February of 1769 in England, and died March 20, 1837 in Vestal.
They came to the US in 1795 and settled in Vestal in 1796. Their son Thomas was born on the way over. Other children William (my Fairbrother) Revo, and James.
I have talked with folks that come from Lydia and Alexander Frazier via the internet. As always, verfiy information yourself. I hope this helps.