The Collaborative International Dictionary of English v.0.48:

Egest \E*gest"\, v. t. [L. egestus, p. p. of egerere to carry
   out, to discharge; e out + gerere to carry.] (Physiol.)
   To cast or throw out; to void, as excrement; to excrete, as
   the indigestible matter of the food; in an extended sense, to
   excrete by the lungs, skin, or kidneys.
   [1913 Webster]

WordNet (r) 3.0 (2006):

egest
    v 1: eliminate from the body; "Pass a kidney stone" [syn:
         excrete, egest, eliminate, pass]

Moby Thesaurus II by Grady Ward, 1.0:

33 Moby Thesaurus words for "egest":
   barf, be seasick, be sick, bring up, chuck up, discharge, disgorge,
   effuse, eliminate, emit, excrete, extravasate, exudate, exude,
   feed the fish, gag, give off, heave, heave the gorge, keck, pass,
   puke, regurgitate, reject, retch, secrete, sick up, spew, throw up,
   transude, upchuck, vomit, weep