This jig comes from the playing of John Williams, a great concertina and accordion player from Chicago, whose father came from Doolin. John spent a lot of time in Doolin over the years, but I learned this particular tune from a YouTube video, see below (it’s the second tune).
X:1
T:John Williams’ Jig
R:jig
M:6/8
L:1/8
K:Dmaj
|:AFF dFF|AFA A2e|f2f fed|efe edB|
A2F dFF|AFA A2e|f2f efe|1 d3 dcB:|2 d3 d2A||
|:Bcd Bcd|Bcd d2e|fgf f2e|fgf fed|
Bcd Bcd|Bcd d2e|f2f efe|1 d3 d2A:|2 d3 dcB||