The Collaborative International Dictionary of English v.0.48:

Brangle \Bran"gle\, n. [Prov. E. brangled confused, entangled,
   Scot. brangle to shake, menace; probably a variant of
   wrangle, confused with brawl. [root]95.> ]
   A wrangle; a squabble; a noisy contest or dispute. [R.]
   [1913 Webster]

         A brangle between him and his neighbor.  --Swift.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Brangle \Bran"gle\, v. i. [imp. & p. p. Brangled; p. pr. & vb.
   n. Brangling.]
   To wrangle; to dispute contentiously; to squabble. [R.]
   [1913 Webster]