That (the moving to the left flank) is one of the theories, originally posited by JFC Fuller. It isn't based on any actual account of the battle, but rather on the fact that historians have a pretty good idea of where the battle took place and it appears that due to the topography the English right would have been much harder to approach on horseback, so presumably the Norman attacks and hence English casualties in the afternoon should have been concentrated on the English left. It is a perfectly logical explanation but like most things about the battle is essentially conjecture.
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