"Anything happening"?? Absolutely LOADS!! Apart from the sessions mentioned above, you're right in the middle of "Ceilidh Culture", a 3-week-long music festival with oodles of gigs.
Newtongrange guest night on the Thursday is Gina Rae and Sandy Wright. Starts at 8pm in the Dean Tavern.
I am personally involved with the Edinburgh and Lothians TMSA events "Northern Streams", from 4th-6th April, based on Fri/Sat at the Scottish Story-Telling Centre on the Royal Mile, and on the Sunday, at the Royal Oak pub: this celebrates the links between scottish and Scandinavian music: we have concerts on Fri-Sat nights, and workshops on Sat/Sun on Danish Tunes, Norwegian and Orcadian song and Norwegian and Danish dance.
More details at www.ceilidhculture.co.uk

or www.eltmsa.org.uk