When you post a query it is helpful to state where you have looked, and give the exact source of data you assert. Saying "From what I understand . . ." does not assist a would-be helper to not duplicate whatever effort you already have made.
The known Patriot participants at Saratoga are listed here:http://saratoganygenweb.com/batlma.htm
If you find your man's name, you can look for his Compiled Service Record on either Ancestry.com or footnote.com to see if the one listed was killed.