verb

evoke or draw out (a reaction, answer, or fact) from someone.

I tried to elicit a smile from Joanna

obtain,bring out,draw out,extract,evoke,bring about,bring forth,induce,excite,give rise to,call forth,prompt,generate,engender,spark off,trigger,kindle,extort,exact,wrest,derive,provoke,wring,screw,squeeze,worm out