According to Irish Genealogy News, there's free access to the Irish Newspaper Archives until 11am on Thursday 17th April.
A lot of people came from Ireland to work in the Borders, so if the Irish were in your ancestry (as they were in mine) or appear in your family stories, they might have been in the newspapers.
I've tried it out but haven't yet found anything relevant.
If you get stuck, there's a video tour when you login.
Login information needed:
Thanks also to Canada's Anglo-Celtic Connections where I first saw it.
Post a comment below, if you find anything interesting, please.