This may be the family in 1860?
However this family has a female child born in Ireland? Ebby or Abby? or Eddy?
https://www.familysearch.org/ark:/61903/1:1:M82J-RGK
Has there been a search for a baptism of Ebby/Abby/Eddy in Ireland? It's more likely that a baptism register from 1850s might exist than from1820s. If we could find out where that child was born it would provide a starting point in Ireland. Did that child survive to adulthood?
A suggestion for other contributors. Since DNA hasn't advanced the quest for John Walsh, would this topic get attention from more people if it was on a different board? Although I don't know which board would be most suitable as the topic straddles U.S.A., Ireland, emigration. It might also help if the title was more specific, perhaps including surname & place.
Added. Or perhaps start a new topic on Ireland board and include a link back to this one? I'm just considering how to get input from more people who might tackle the enquiry using a variety of methods.
I only viewed this topic because my list of unread topics was very short yesterday. I don't usually look at topics on the DNA board.