<Tr> <Td> <Table> <Tr> <Th colspan="2"> Battles of Saratoga </Th> </Tr> <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> <Tr> <Th colspan="2"> Belligerents </Th> </Tr> <Tr> <Td> <P> United States </P> <Ul> <Li> Canadian Auxiliaries </Li> </Ul> </Td> <Td> <P> Great Britain </P> <Ul> <Li> Quebec </Li> <Li> Loyalists </Li> <Li> Hesse - Cassel </Li> <Li> Hesse - Hanau </Li> <Li> Brunswick - Wolfenbüttel </Li> </Ul> </Td> </Tr> <Tr> <Th colspan="2"> Commanders and leaders </Th> </Tr> <Tr> <Td> Horatio Gates Benedict Arnold Benjamin Lincoln Enoch Poor Ebenezer Learned Daniel Morgan James Livingston </Td> <Td> John Burgoyne Simon Fraser † Baron Riedesel </Td> </Tr> <Tr> <Th colspan="2"> Strength </Th> </Tr> <Tr> <Td> 9,000 ( first battle ) over 12,000 ( second battle ) over 15,000 ( at time of surrender ) </Td> <Td> 7,200 ( first battle ) 6,600 ( second battle ) </Td> </Tr> <Tr> <Th colspan="2"> Casualties and losses </Th> </Tr> <Tr> <Td> 90 killed 240 wounded </Td> <Td> 440 killed 695 wounded 6,222 captured </Td> </Tr> </Table> </Td> </Tr>
where did the battle of freeman 's farm take place
Stillwater , Saratoga County , New York