<Tr> <Td_colspan="2"> Part of the American Revolutionary War Saratoga campaign </Td> </Tr> <Tr> <Td_colspan="2"> Surrender of General Burgoyne by John Trumbull, 1822 . This painting hangs in the United States Capitol Rotunda . </Td> </Tr> <Tr> <Td_colspan="2"> <Table> <Tr> <Th> Date </Th> <Td> September 19 and October 7, 1777 </Td> </Tr> <Tr> <Th> Location </Th> <Td> Stillwater, Saratoga County, New York 42 ° 59 ′ 56" N 73 ° 38 ′ 15" W ﻿ / ﻿ 42.99889 ° N 73.63750 ° W ﻿ / 42.99889; - 73.63750 Coordinates: 42 ° 59 ′ 56" N 73 ° 38 ′ 15" W ﻿ / ﻿ 42.99889 ° N 73.63750 ° W ﻿ / 42.99889; - 73.63750 </Td> </Tr> <Tr> <Th> Result </Th> <Td> <P> Freeman's Farm: </P> <Ul> <Li> British Pyrrhic victory </Li> </Ul> <P> Bemis Heights: </P> <Ul> <Li> Decisive American victory </Li> <Li> British surrender October 17 </Li> </Ul> </Td> </Tr> </Table> </Td> </Tr> <Table> <Tr> <Th> Date </Th> <Td> September 19 and October 7, 1777 </Td> </Tr> <Tr> <Th> Location </Th> <Td> Stillwater, Saratoga County, New York 42 ° 59 ′ 56" N 73 ° 38 ′ 15" W ﻿ / ﻿ 42.99889 ° N 73.63750 ° W ﻿ / 42.99889; - 73.63750 Coordinates: 42 ° 59 ′ 56" N 73 ° 38 ′ 15" W ﻿ / ﻿ 42.99889 ° N 73.63750 ° W ﻿ / 42.99889; - 73.63750 </Td> </Tr> <Tr> <Th> Result </Th> <Td> <P> Freeman's Farm: </P> <Ul> <Li> British Pyrrhic victory </Li> </Ul> <P> Bemis Heights: </P> <Ul> <Li> Decisive American victory </Li> <Li> British surrender October 17 </Li> </Ul> </Td> </Tr> </Table>

Where did the battles of saratoga take place