The father of Anthony Bushee (25 February 1793, Rutland, Bennington County Vermont-6 November 1847, Town of Hanover, Chautauqua County, New York) is unknown to me. He may be related to this line from http://www.familysearch.orghttp://www.familysearch.org :
1) James Bushee (born 1725, Warren, Rhode Island) 2) James Bushee (born 16 September 1754, Warren, Rhode Island) 3) Luther Bushee (born 16 June 1788, Middlesex, Massachusetts) 4) James Luther Bushee (born 1798, Middlesex, Massachusetts-died 18 January 1855).
It is probable that the woman who married a Bushee in Rhode Island is not related to Anthony Bushee, whose descendants are primarily in New York and Michigan. Rather, it is probably that she married into a line of Bushee descendants who remained in Rhode Island.