I believe I have found my ggggg grandfather on a French and Indian War enlistment roster. Of course all they have on there is his name, what company he was in and that it was in the colony of Virginia. I can't find any information in the National Archives regarding French & Indian War enlistment. I was hoping that I may be able to get more information to be able to determine if this is my ancestor.

Am I looking in the wrong place? Should I be looking in the British military archives or would they even have it available. Does anyone know how I could get more information?
I went ahead and attached the document I found from ancestery.com. My person of interest is Edward Swanson and he is on the payroll of CAPT. Spotswood's Company, 16 October, 1755.