The Collaborative International Dictionary of English v.0.48:

Budge \Budge\, n. [OE. bouge bag, OF. boge, bouge, fr. L. bulga
   a leathern bag or knapsack; a Gallic word; cf. OIr. bolc,
   Gael. bolg. Cf. Budge, n.]
   A kind of fur prepared from lambskin dressed with the wool
   on; -- used formerly as an edging and ornament, esp. of
   scholastic habits.
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The Collaborative International Dictionary of English v.0.48:

Budge \Budge\, a.
   1. Lined with budge; hence, scholastic. "Budge gowns."
      --Milton.
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   2. Austere or stiff, like scholastics.
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            Those budge doctors of the stoic fur. --Milton.
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   Budge bachelor, one of a company of men clothed in long
      gowns lined with budge, who formerly accompanied the lord
      mayor of London in his inaugural procession.

   Budge barrel (Mil.), a small copper-hooped barrel with only
      one head, the other end being closed by a piece of
      leather, which is drawn together with strings like a
      purse. It is used for carrying powder from the magazine to
      the battery, in siege or seacoast service.
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The Collaborative International Dictionary of English v.0.48:

Budge \Budge\ (b[u^]j), v. i. [imp. & p. p. Budged (b[u^]jd);
   p. pr. & vb. n. Budging.] [F. bouger to stir, move (akin to
   Pr. bojar, bolegar, to stir, move, It. bulicare to boil,
   bubble), fr. L. bullire. See Boil, v. i.]
   To move off; to stir; to walk away.
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         I'll not budge an inch, boy.             --Shak.
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         The mouse ne'er shunned the cat as they did budge
         From rascals worse than they.            --Shak.
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The Collaborative International Dictionary of English v.0.48:

Budge \Budge\, a. [See Budge, v.]
   Brisk; stirring; jocund. [Obs.] --South.
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WordNet (r) 3.0 (2006):

Budge
    n 1: United States tennis player who in 1938 was the first to
         win the Australian and French and English and United States
         singles championship in the same year (1915-2000) [syn:
         Budge, Don Budge, John Donald Budge]
    v 1: move very slightly; "He shifted in his seat" [syn: stir,
         shift, budge, agitate]