Lanesborough - Clarke's (https://thesession.org/sessions/2661)
Carrick-on-Shannon - Cryan's (http://www.cryanshotel.ie/cryans-bar)
Drumshanbo - Millrace Bar, Tuesdays and Saturdays (086 3517726)
Ballinamore - Possibly Smyth's (http://www.smythsrestaurant.ie/)

There are several other pubs which host sessions but not within the chosen time-span.