Synonyms for Assuage (same or very similar meaning)
WordNet sense 1 (cause to be more favorably inclined; gain the good will of):
appease, conciliate, gentle, mollify, pacify, placate, gruntle, lenifyWordNet sense 2 (satisfy (thirst)):
allay, quench, slakeWordNet sense 3 (provide physical relief, as from pain):
alleviate, palliate, relieveFrom the ODE community, based on WordNetadd/edit