The Collaborative International Dictionary of English v.0.48:

Strangely \Strange"ly\, adv.
   1. As something foreign, or not one's own; in a manner
      adapted to something foreign and strange. [Obs.] --Shak.
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   2. In the manner of one who does not know another; distantly;
      reservedly; coldly.
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            You all look strangely on me.         --Shak.
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            I do in justice charge thee . . .
            That thou commend it strangely to some place
            Where chance may nurse or end it.     --Shak.
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   3. In a strange manner; in a manner or degree to excite
      surprise or wonder; wonderfully.
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            How strangely active are the arts of peace!
                                                  --Dryden.
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            It would strangely delight you to see with what
            spirit he converses.                  --Law.
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WordNet (r) 3.0 (2006):

strangely
    adv 1: in a strange manner; "a queerly inscribed sheet of paper"
           [syn: queerly, strangely, oddly, funnily]