Well you could do well to check out Paul Sartin, who played with the recently dusbanded Bellowhead, and is in the very entertaining duo, Belshazzar's Feast.
Looking back at other bands where woodwind featured strongly, the great Pyewackett. From the 1970s-80s with Rosie Cross on bassoon, and clarinettist, Ian Blake too.
And we had a multi-instrumentalist in our ceilidh band, until he was sadly "taken from us" a couple of years back: he played whistles, oboe and Scottish Lowland pipes in the band.