My ancestry tree shows that I am related to you, Suzanne, through Dinty and Annie Driscoll. I hope you have the "white binder" as we call it from cousin Pat Sloan that details my tree at Hill Foley Family Tree on ancestry!
Annie O'Brien Driscoll has an amazing story that some of us believe is a bit exaggerated but she was what we might call one of our first feminists in her own way.
I also have Aherns, with Elizabeth Ahern from Tipperary as my 5th great grandmother. I have DNA matches with her line. https://www.ancestry.com/family-tree/person/tree/111150921/person/35221…
Her line married into Callahans, O'Briens, McNamaras and then Murphys. It looks like the family came to the states about 1840 or so and then moved around landing in Iowa and then Wisconsin.
My grandmother Madaline McNamara, who is my connection to our Aherns, married Francis Murphy.
Oddly, the connection here is also to New Diggings, Wisconsin. My grandfather's mother was born Mary Ellen Driscoll.
What this means is that I am related to the Aherns and to the Driscolls but those two families did not share DNA until my grandparents era.
I don't know if the Aherns that I am related to are the ones that bnbauer and others are looking for. As Suzanne points out, many of my Irish ancestors landed in Canada about 1825 and than interestingly many went to NY, some to work on the Erie Canal. Then they traveled the long distance to Wisconsin about 1840-48. I suspect they were moving to find farmland because they preferred that to digging mines and canals and the arable land in Ontario had run out due to the large families with the oldest children inheriting the land. In the 1840s, many land speculators were advertising by flyers to the Irish about the bountiful farmland in Wisconsin. It's pretty rocky here. Although there are very fertile areas. My relatives got the rocky parts. Obviously, they flourished or I wouldn't be writing to you. It was a hard life in Wisconsin, Iowa and Canada from the stories I know. But most of my relatives were "evacuated" as they called the forced migration in 1825 or so for 2,000 Irish. They were called displaced farmers, which meant the English had taken all their land and they had no place to grow anything by that time and nothing to eat. There's a lot of history on the web about these people who came on the Robinson Expedition. They were lucky in a way they came in 1823-25 because the ships were relatively disease-free compared to another set of my relatives who came later on the coffin ships and many died. Again, I likely wouldn't be here if it were not for the Robinson Expedition, as evil as its intentions were to take my relatives from their beloved homeland.