The Collaborative International Dictionary of English v.0.48:

Wad \Wad\, v. t. [imp. & p. p. Waded; p. pr. & vb. n.
   Wadding.]
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   1. To form into a mass, or wad, or into wadding; as, to wad
      tow or cotton.
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   2. To insert or crowd a wad into; as, to wad a gun; also, to
      stuff or line with some soft substance, or wadding, like
      cotton; as, to wad a cloak.
      [1913 Webster] Wad

The Collaborative International Dictionary of English v.0.48:

Wade \Wade\, v. i. [imp. & p. p. Waded; p. pr. & vb. n.
   Wading.] [OE. waden to wade, to go, AS. wadan; akin to
   OFries. wada, D. waden, OHG. watan, Icel. va?a, Sw. vada,
   Dan. vade, L. vadere to go, walk, vadum a ford. Cf. Evade,
   Invade, Pervade, Waddle.]
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   1. To go; to move forward. [Obs.]
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            When might is joined unto cruelty,
            Alas, too deep will the venom wade.   --Chaucer.
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            Forbear, and wade no further in this speech. --Old
                                                  Play.
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   2. To walk in a substance that yields to the feet; to move,
      sinking at each step, as in water, mud, sand, etc.
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            So eagerly the fiend . . .
            With head, hands, wings, or feet, pursues his way,
            And swims, or sinks, or wades, or creeps, or flies.
                                                  --Milton.
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   3. Hence, to move with difficulty or labor; to proceed ?lowly
      among objects or circumstances that constantly ?inder or
      embarrass; as, to wade through a dull book.
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            And wades through fumes, and gropes his way.
                                                  --Dryden.
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            The king's admirable conduct has waded through all
            these difficulties.                   --Davenant.
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