Hi, Barry. Thanks for the link to the Sam Sweeney recording. He is a fine fiddler. Basically he is playing the Turlough O'Carolan 'Princess Royal' embellished with typical fiddle ornaments and variations. It's easier to listen to them and imitate than to work out the notation.

In case you don't know, Carolan, also called O'Carolan, was an Irish harper and composer, died 1737, I believe.

At the site abcnotation.com you can search for Princess Royal and get lots of versions. The one Sam is playing is called 'Carolan's Princess Royal', and you can get sticks & dots, MIDI, PDF or ABC of it.

I am copying the ABC below just to spoil you. Enjoy.

X:2557
T:Carolan's Princess Royal
C:Turlough O Carolan
I:abc2nwc
L:1/16
M:2/4
Q:1/4=90
K:Bb
dc|B2A2 G2dc|B2A2 G2d2|e2ed c2fe|dedc B2d2|
cdcB ABAG|F2E2 D2dc|B2AG BAG^F|G4G2:|
|:d2|g2gf g2a2|b2B2 B2b2|bagf edcB|ABcA F2GA|
B2AB c2Bc|d2d2 g3g|f2d2 e2fe|dcB2 c3d|
cBBA GBAG|F2E2 D2dc|B2AG BAG^F|G4G2:|

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Threads on The Princess Royal get confused fast, because some songs called that seem to be about the woman, the Princess Royal (of whom there have been seven, ending in today's Princess Anne) and some of them are about a boat called The Princess Royal. Tunes vary, but the Carolan tune is probably the most common.