Thanks for the suggestions. My drawing is not to scale so the level of the window well is not very far below the window itself. This combined with the poor draining clay soil is a bad combination. So in addition to deepening the well you're both suggesting that I do something like this?
I wouldn't be able to dig down 8 feet to get below the foundation but could I instead Could I drill the hole through the basement wall like this, allowing it to drain internally to the French drain?
Thanks again for the help.