The Collaborative International Dictionary of English v.0.48:

Wrap \Wrap\, v. t. [imp. & p. p. Wrappedor Wrapt; p. pr. &
   vb. n. Wrapping.] [OE. wrappen, probably akin to E. warp.
   [root]144. Cf. Warp.]
   [1913 Webster]
   1. To wind or fold together; to arrange in folds.
      [1913 Webster]

            Then cometh Simon Peter, . . . and seeth . . . the
            napkin that was about his head, not lying with the
            linen clothes, but wrapped together in a place by
            itself.                               --John xx. 6,
                                                  7.
      [1913 Webster]

            Like one that wraps the drapery of his couch
            About him, and lies down to pleasant dreams.
                                                  --Bryant.
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   2. To cover by winding or folding; to envelop completely; to
      involve; to infold; -- often with up.
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            I . . . wrapt in mist
            Of midnight vapor, glide obscure.     --Milton.
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   3. To conceal by enveloping or infolding; to hide; hence, to
      involve, as an effect or consequence; to be followed by.
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            Wise poets that wrap truth in tales.  --Carew.
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   To be wrapped up in, to be wholly engrossed in; to be
      entirely dependent on; to be covered with.
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            Leontine's young wife, in whom all his happiness was
            wrapped up, died in a few days after the death of
            her daughter.                         --Addison.
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            Things reflected on in gross and transiently . . .
            are thought to be wrapped up in impenetrable
            obscurity.                            --Locke.
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WordNet (r) 3.0 (2006):

wrapping
    n 1: the covering (usually paper or cellophane) in which
         something is wrapped [syn: wrapping, wrap, wrapper]
    2: an enveloping bandage [syn: swathe, wrapping]

Moby Thesaurus II by Grady Ward, 1.0:

67 Moby Thesaurus words for "wrapping":
   ambient, bandage, bandaging, binder, binding, blanketing, blocking,
   blotting out, cementwork, circling, circumambient, circumferential,
   circumflex, circumfluent, circumfluous, circumjacent, cloaking,
   clouding, coating, coverage, covering, curtaining, dust jacket,
   eclipse, eclipsing, embracing, encircling, enclosing, encompassing,
   enfolding, envelope, enveloping, envelopment, environing,
   enwrapment, enwrapping, gift wrapping, hiding, incrustation,
   jacket, laying on, mantling, masking, neighboring, obduction,
   obscuring, occultation, overlaying, overspreading, pargeting,
   peripheral, plasterwork, roundabout, screening, sheathing,
   shielding, shrouding, stuccowork, suburban, superimposition,
   superposition, surrounding, upholstering, upholstery, veiling,
   wrap, wrapper