I don't know much, so I'll just quote from Fintan Vallely's Companion to Irish Traditional Music (p. 125):

Sligo: In the Sligo style, the pace is still fast, the playing is rhythmic with the bowing smoother. Rolls as well as trebles are features of the ornamentation. The fiddle music of this region is probably more widely known than any other, mainly from the playing of Michael Coleman, Paddy Killoran and James Morrison. Many of their 78 rpm recordings, made in New York in the 1920s, '30s and '40s, were sent home to Ireland by those who emigrated to America. The remarkable music on these records became a model of playing for many to try to emulate, and in a sense, this style became the 'standard'. The music of Coleman, in particular, has been a source of influence not only for fiddle players, but for others as well. His setting of tunes feature in the repertoire of many musicians.

On the Sligo style of flute playing, see THIS PAGE.

~Masato