Supposedly the female brain, though it has 4% less cells than a man's, has more dendritic connections between brain cells and a larger corpus collusum. This means women can transfer data between the right and left hemisphere faster than men. Men tend to be more left brained, while women have greater access to both sides.
This gives women an advantage in cases of brain injury, like trauma or stroke. If a woman has a stroke in the left side of the brain, she may still have language "stuff" on the right side, and so finds it easier to relearn and to recover more rapidly and completely.
Or so they say!
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I vaguely recall reading something describing what you have posted about the ability for a woman’s brain to shift between the hemispheres.
Can’t remember for sure, but I am thinking that the piece I read said that the corpus callosum in a woman is thicker and allows for more transfer. (But I may be remembering this incorrectly.)
That quick transfer factor probably accounts of the fact that I exhibit some behaviors that totally baffle — and sometimes annoy — my husband, while we are working together on some project in the garden that requires some sort of analytical thinking. While his hyper-focused engineer’s brain is making calculations about how much mulch we’ll need or how much lumber to buy for yet another planting bed, I often stop in mid-sentence to comment on a plant or a bird or the neighbor’s flowers.