Here are the results when I take the suggestion of combining French and French Canadian and using the more updated (2010) numbers that were so awesomely linked above! I also used Census regions this time to more easily get the regional numbers as a whole. Also, remember that this is percent of Whites.
THE NORTHEASTTOTAL23.61% Irish
20.38% Italian
20.09% German
18.18% English
8.36% Polish
7.92% French
2.79% Russian
Connecticut23.27% Italian
20.30% Irish
15.72% English
11.88% German
10.64% French
Maine31.61% English
25.50% French
18.76% Irish
8.10% German
5.70% Italian
Massachusetts27.53% Irish
18.15% English
16.69% Italian
14.43% French
7.80% German
New Hampshire24.30% French
24.17% English
22.90% Irish
11.08% Italian
9.27% German
New Jersey23.14% Italian
20.66% Irish
15.70% German
12.67% English
8.54% Polish
New York19.40% Italian
18.26% Irish
15.55% German
14.55% English
7.13% Polish
Pennsylvania32.20% German
20.94% Irish
15.50% English
14.77% Italian
8.11% Polish
Rhode Island22.41% Irish
22.05% Italian
18.87% French
17.33% English
11.32% Portuguese
Vermont26.37% English
24.05% French
19.30% Irish
10.97% German
7.91% Italian
THE SOUTHTOTAL31.09% English
17.98% German
15.97% Irish
5.55% Italian
4.20% French
3.03% Scottish
2.52% Polish
Alabama33.53% English
13.67% Irish
10.36% German
2.59% Scottish
2.45% French
Arkansas26.92% English
14.84% Irish
14.21% German
2.64% French
2.14% Scottish
Delaware25.58% Irish
22.87% English
21.59% German
14.06% Italian
6.68% Polish
Florida20.85% English
13.90% German
12.48% Irish
7.98% Italian
3.35% Polish
Georgia32.31% English
13.64% Irish
12.01% German
3.57% Italian
2.92% Scottish
Kentucky35.87% English
16.91% German
14.53% Irish
2.27% Italian
2.16% Scottish
Louisiana25.79% French
25.79% English
12.82% German
12.34% Irish
7.59% Italian
Maryland25.34% German
21.98% English
19.46% Irish
8.89% Italian
5.70% Polish
Mississippi32.44% English
14.79% Irish
9.41% German
4.20% French
3.03% Italian
North Carolina31.18% English
15.17% German
12.64% Irish
3.93% Scots-Irish
3.51% Scottish
Oklahoma24.33% English
19.39% German
16.31% Irish
2.94% French
2.41% Scottish
South Carolina32.16% English
14.77% German
14.33% Irish
4.09% Italian
2.40% Scots-Irish
Tennessee34.14% English
13.96% Irish
13.07% German
3.05% Scots-Irish
2.66% Scottish
Texas15.43% English
13.05% German
9.16% Irish
2.76% French
2.38% Italian
Virginia31.62% English
17.09% German
14.53% Irish
5.84% Italian
3.13% Scottish
West Virginia26.39% English
19.76% German
16.03% Irish
4.91% Italian
2.35% Dutch
THE MIDWEST
TOTAL35.48% German
18.84% English
16.13% Irish
6.84% Polish
5.68% Italian
4.26% Norwegian
3.74% French
Illinois25.23% German
15.91% Irish
14.36% English
9.57% Polish
8.15% Italian
Indiana28.09% German
23.43% English
16.69% Irish
4.20% Italian
3.96% French
Iowa43.55% German
16.78% English
15.80% Irish
5.50% Norwegian
4.50% Dutch
Kansas33.45% German
20.88% English
14.76% Irish
3.34% French
2.77% Italian
Michigan26.85% German
19.20% English
14.18% Irish
11.04% Polish
6.15% Dutch
Minnesota41.57% German
18.38% Norwegian
10.89% English
10.30% Swedish
5.50% Polish
Missouri30.61% German
23.77% English
16.69% Irish
4.20% Italian
3.96% French
Nebraska43.55% German
15.71% Irish
14.59% English
5.50% Czech
5.16% Swedish
North Dakota50.11% German
32.17% Norwegian
9.14% Irish
8.58% English
5.08% Swedish
Ohio32.16% German
21.04% English
16.93% Irish
7.86% Italian
4.72% Polish
South Dakota48.19% German
16.26% Norwegian
12.98% Irish
11.81% English
3.50% Swedish
Wisconsin48.29% German
12.90% Irish
10.96% English
10.39% Polish
9.02% Norwegian
THE WESTTOTAL24.43% English
24.24% German
16.41% Irish
7.63% Italian
4.58% French
3.82% Norwegian
3.82% Scottish
Alaska26.69% German
19.04% English
16.64% Irish
6.00% Norwegian
5.85% French
Arizona20.41% German
19.59% English
13.56% Irish
6.03% Italian
3.56% French
California15.97% English
15.28% German
11.98% Irish
4.00% Italian
1.90% French
Colorado26.45% German
19.56% English
6.40% Italian
3.81% French
Hawaii25.51% German
21.05% English
19.43% Irish
15.79% Portuguese
8.79% Spanish
Idaho29.18% English
20.76% German
15.01% Irish
7.24% Norwegian
4.66% Italian
Montana30.31% German
21.70% English
16.67% Irish
10.51% Norwegian
5.15% French
New Mexico16.37% English
13.60% German
10.82% Spanish
9.94% Irish
3.51% Italian
Oregon24.16% German
20.81% English
14.83% Irish
4.78% Norwegian
4.55% Italian
Utah37.17% English
13.47% German
7.20% Irish
6.16% Danish
5.34% Scottish
Washington24.32% German
20.57% English
15.01% Irish
7.24% Norwegian
4.66% Italian
Wyoming29.00% German
25.03% English
14.99% Irish
3.75% Norwegian
3.64% French
And, of course, a revised plurality map:
Red = English
Blue = German
Yellow = Irish
Green = Italian
Navy = French