I'm afraid all my Actons (at least, the ones I know about) had reached England by 1813. Actually I'm not one hundred percent sure that the Acton line I'm following originated in Ireland at all. I'm pretty certain that Bridget (Brannan, my G.G.Grandmother)'s family came from that country, but the Actons, I'm just not sure.
The furthest back I can go with them is one William Acton who was married in Bolton, England in 1760. He was a soldier at the time of his marriage so theoretically he could have come from anywhere in the country. I'm still doing some research on him so will post further when I know more.