What pubs can I find Irish Stouts like Beamish or Murphy's in Chicago?!
All three have web pages that are easily found with a simple search.
Other than that any Irish pub worth its salt will have both.
Answers: Where do you live in town? Here on the North side we've got Charles Ale house on Clark in Andersonville, Just down the block is The Hop leaf... My personal favorite. Hop leaf leans more towards Belgium ales, but they do have a mix of beers from all over. There is also a great little place just around the corner from me called Bar on Buena or The BoB. They rotate their selection often so they may or may not have it.
All three have web pages that are easily found with a simple search.
Other than that any Irish pub worth its salt will have both.