Number of children per family by state

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The reason that the Northeast and West Virginia have less children is because their populations are older.  50 years ago, West Virginia was probably up there towards the top, but children have been leaving WV for a long time leaving only the older people behind.  They have the highest median age in the country and there are more 50-60 year olds than 0-10 year olds... so there are a lot of older couples that no longer have children living with them that skew the results.

In Utah, the opposite is true.  The population is younger in general and on top of that, they have many more children than the rest of the country.

If you look at the fertility rate (number of children born to a woman in her life time), you'd see a different kind of map.  The upper midwest and the Northeast would likely have the lowest fertility rates while the south and southwest would have higher rates (where there are more hispanics, who tend to have more children).

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Here are fertility rates by state which is calculated by number of children born per 1000 women of childbearing age in 2004.

Lightest pink:  51-55, 56-60, 61-65 to 75-80 and then darkest maroon is 90-95.  (Damn it, Utah!)
Vermont was lowest at 51.8
Utah was highest at 92.8

Generally the south, west, and plains had the highest rates while the Great Lakes and New England had the lowest rates.

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With all of the large, well known companies that are based in the Twin Cities, it doesn't surprise me that incomes are relatively quite high. 

In the last 6 years, however, income growth has stagnated in the metro while rural Minnesota has seen large increases in income (in the traditional farming, tourism, and industry belts).