Fadge \Fadge\, n. [Etymol. uncertain.] A small flat loaf or thick cake; also, a fagot. [Prov. Eng.] --Halliwell.
Or...
Fadge \Fadge\, v. i. [Cf. OE. faden to flatter, and AS. f?gan to join, unit, G. f["u]gen, or AS. [=a]f[ae]gian to depict; all perh. form the same root as E. fair. Cf. Fair, a., Fay to fit.] To fit; to suit; to agree.
Source: Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc.