VT and ME in 1940 - why the slight shift to FDR?

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VT and ME were the two states Franklin Roosevelt lost in the 1936 election.  Clearly, both states -- as they had in 1932 -- rejected FDR and his New Deal policies.

In 1940, why did these two states show a slight swing to FDR, when many other traditional Republican states swung solidly back to the GOP fold?  Here are the examples:

1936 - Maine

Landon (R) 55.49 %
Roosevelt (D) 41.52 %

Margin: 13.97 % (R)

1940 - Maine

Willkie (R) 51.10 %
Roosevelt (D) 48.77 %

Margin: 2.33 % (R)

1936 - Vermont

Landon (R) 56.39 %
Roosevelt (D) 43.24 %

Margin: 13.15 % (R)

1940 - Vermont

Willkie (R) 54.78 %
Roosevelt (D) 44.92 %

Margin: 9.86 % (R)

FDR lost both states in 1940, of course -- but why did his percentages improve in both states?  Thanks for any answers.