There is a decent account of the background to the campaign and of the battle itself on Wikipedia, which has links to other relevant entries. There are also pictures of the village today showing memorials to the battle and slain. The article can be viewed at Battle_of_Formigny.
As the account shows things did not start too badly for the English in their defensive position, and it was only when they ventured or were coaxed out that it turned disastrous for them with heavy casualties. Two months later Caen fell and two months after that the last English base of Cherbourg surrendered. English rule over the mainland Duchy of Normandy, held since 1417-19, was finally lost.
Travelling west along the road from Bayeux towards Carentan and Cherbourg in 1992 on an historical study holiday our coach came through Formigny and, realising where I was, I looked around to take in the surroundings. At one level it was just another attractive French village with a river crossing. At another it was a place charged with past events which resonated through the history of that Anglo-French conflict and process of self-definition.