This is a simple misunderstanding of the Southwest boarding policy. You are not assigned seats. It is first come, first serve. A group boards first, B group boards second, C group boards third and last, and by that time, most aisle/window seats are taken. Now you know for the future. You could have gotten around this by purchasing early bird, which gives you a better boarding position (but even then it is not guaranteed, if many others also purchase early bird).
--Jessica
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