Sarah Hull and Andrew Westbrook of Ont and Michigan

Andrew Westbrook (1773-1835)married Sarah Hull(1779-1814) about 1800. I am seeking parents of Sarah Hull. A number of trees indicate her father as Gen William Hull but I find no independent confirmation of this.
Background: Andrew Westbrook was the son of Anthony Westbrook of whom much is written of his exploits in the war of 1812. The only comment concerning Sarah is from the book "Westbrook Family of New York" stating the marriage and later, the death of Sarah resulting from the family breaking through the ice while crossing the Detroit River in 1814. Her buriel was believed to be around Ecorse, Michigan, which I have not been able to confirm. Sarah was my gggg grandmother.