The Fifth Province

In addition to its library and museum packed with historical acquisitions, the Irish American Heritage Center also contains a limited-hours pub called the Fifth Province, with free live music (Irish, of course) and Guinness-absorbing fare like fish and chips. Modeled after a traditional Irish pub, the cozy space boasts a stone hearth and a bar with countertops made of chalkboards that are remants of the building's past, when it housed the Mayfair School. There are plenty of places where you can order a pint of Harp throughout Chicago, but you have the best chance of running into a visitor from the Emerald Isles if you decide to drink here.