This was more a part of the wider battle for the Angevin dynasty -- this dynasty came close to ruling much of Europe in the 1300s -- one even became king of Hungary and Poland.
I would respectfully argue though that while the British nobles at the battle certainly possessed French ancestry and some residual identification with the culture (and were keen on getting their ancestral lands back) the common foot soldiers and archers were as English as the Thames. Their unfortunate opponents did not believe they were fighting fellow Frenchmen and it is celebrated in England as a miraculous English victory. Shakespeare (and Olivier in 1944) certainly played some part in making that so.
PS: I enjoy reading your posts. European history was not my focus in college. Middle East was.