The Collaborative International Dictionary of English v.0.48:

Roundly \Round"ly\, adv.
   1. In a round form or manner.
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   2. Openly; boldly; peremptorily; plumply.
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            He affirms everything roundly.        --Addison.
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   3. Briskly; with speed. --locke.
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            Two of the outlaws walked roundly forward. --Sir W.
                                                  Scott.
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   4. Completely; vigorously; in earnest. --Shak.
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   5. Without regard to detail; in gross; comprehensively;
      generally; as, to give numbers roundly.
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            In speaking roundly of this period.   --H. Morley.
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WordNet (r) 3.0 (2006):

roundly
    adv 1: in a round manner; "she was roundly slim"
    2: in a blunt direct manner; "he spoke bluntly"; "he stated his
       opinion flat-out"; "he was criticized roundly" [syn:
       bluffly, bluntly, brusquely, flat out, roundly]

Moby Thesaurus II by Grady Ward, 1.0:

67 Moby Thesaurus words for "roundly":
   about, all but, all joking aside, almost, altogether,
   approximately, approximatively, as good as, bluffly, bluntly,
   broadly, brusquely, candidly, completely, comprehensively,
   directly, entirely, exhaustively, for practical purposes, frankly,
   fully, generally, generally speaking, genuinely, globally,
   hundred per cent, in all conscience, in all seriousness, in full,
   in full measure, in plain English, in plain words,
   in round numbers, inclusively, inside out, integrally, just about,
   largely, more or less, most, one and all, openheartedly, openly,
   outright, outspokenly, perfectly, plain-spokenly, plainly,
   practically, quite, roughly, roughly speaking, say, sincerely,
   straightforwardly, thoroughly, to the hilt, totally, tout a fait,
   unconditionally, unconstrainedly, unreservedly, unrestrainedly,
   utterly, well-nigh, wholly, with no nonsense