The Collaborative International Dictionary of English v.0.48:

Brigue \Brigue\, n. [F. brigue, fr. LL. briga quarrel. See
   Brigand.]
   A cabal, intrigue, faction, contention, strife, or quarrel.
   [Obs.] --Chesterfield.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Brigue \Brigue\, v. i. [F. briguer. See Brigue, n.]
   To contend for; to canvass; to solicit. [Obs.] --Bp. Hurd.
   [1913 Webster]