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Place sweet potatoes in a large pot, cover with water and bring to boil.
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Reduce heat and cook until tender.
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Peel potatoes and place in mixing bowl.
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Add butter, evaporated milk, sugar and vanilla extract.
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Beat until smooth.
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Spoon into 2-quart casserole dish.
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Make Marshmallow Sauce:
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In small saucepan, melt butter.
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Stir in flour and cook for 1 minute, stirring constantly.
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Add brown sugar and water, mixing well.
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Add marshmallows and continue cooking over medium heat until marshmallows melt and sauce thickens.
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Pour marshmallow sauce over sweet potato mixture.
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Cover and bake at 350° for 20 minutes.
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Note: You can also use 3 (15oz) cans of sweet potatoes, drained and mashed.