The Collaborative International Dictionary of English v.0.48:

Brennage \Bren"nage\, n. [OF. brenage; cf. LL. brennagium,
   brenagium. See Bran.] (Old Eng. Law)
   A tribute which tenants paid to their lord, in lieu of bran,
   which they were obliged to furnish for his hounds.
   [1913 Webster]