ADVERB (2)

1. with hope; in a hopeful manner;
- Example: "we searched hopefully for a good position"

2. it is hoped;
- Example: "hopefully the weather will be fine on Sunday"

The Collaborative International Dictionary of English v.0.48:

Hopeful \Hope"ful\, a.
   1. Full of hope, or agreeable expectation; inclined to hope;
      expectant.
      [1913 Webster]

            Men of their own natural inclination hopeful and
            strongly conceited.                   --Hooker.
      [1913 Webster]

   2. Having qualities which excite hope; affording promise of
      good or of success; as, a hopeful youth; a hopeful
      prospect. "Hopeful scholars." --Addison. -- Hope"ful*ly,
      adv. -- Hope"ful*ness, n.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Hopefully \Hope"ful*ly\, adv.
   1. In a hopeful manner.
      [PJC]

   2. I hope; if all goes well; as, hopefully, the dress will be
      ready before the party.

   Note: Some prescriptivists object to this usage as being
         ungrammatical, but it is very common and well
         understood. It is usually used to begin a sentence
         describing a desired future event.
         [PJC]

WordNet (r) 3.0 (2006):

hopefully
    adv 1: with hope; in a hopeful manner; "we searched hopefully
           for a good position" [ant: hopelessly]
    2: it is hoped; "hopefully the weather will be fine on Sunday"

Moby Thesaurus II by Grady Ward, 1.0:

45 Moby Thesaurus words for "hopefully":
   after a time, after a while, afterward, afterwards, airily, anon,
   anticipatingly, anticipatively, anticipatorily, before long,
   blithely, by and by, by destiny, cheerfully, cheerily, confidently,
   expectantly, expectedly, expectingly, fatally, fondly, genially,
   gladly, happily, hopingly, imminently, in aftertime, in the future,
   irrepressibly, jauntily, joyfully, later, lightly, optimistically,
   pleasantly, predictably, probably, proximo, sanguinely, smilingly,
   soon, tomorrow, with bated breath, with breathless expectation,
   with good cheer