First - The name is Pier after all. Ignore all my suggestions in the previous post. But look for Pear, Peare, and Peir when you start searching. I saw all those variants in the Irish baptisms.
And yes, it is looking to me that Bridget was a half sibling of the Danahys and Maria was definitely related, maybe a sister or cousin.
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I don't know if you have these:
When Charles and Mariah Coughlin's daughter married 25 July 1923 to John Hamilton, she said her mother's maiden name was Mariah Pier.
https://www.ancestrylibrary.com/search/collections/61378/records/904224502Their son Benjamin's Social Security Application Index said his mother was Maria Pier.
https://www.ancestrylibrary.com/search/collections/61378/records/904224502-----
You mentioned the DNA link of the Coughlins to the Schull area of Co. Cork. At the findmypast index, I was running into a lot of baptisms in Schull West Parish, Cork and Ross Diocese for Pier.
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There is this man in Buffalo who might be worth looking into. I haven't yet.
1880 Buffalo Census
at 200 Miami Street
Richard Pier, 40, born in Ireland
Mary Pier, 35, born in Ireland
Daniel 11, John 5, Ellen 1, Margaret 3m, all born in NY
https://www.ancestrylibrary.com/search/collections/6742/records/1585085It might be a coincidence but his age and Bridget's match these baptisms exactly:
Schull West Parish, Cork and Ross Diocese
February 1, 1834, Bridget daughter of Richard Peare and Ellen Driscole, sponsors: Cor[nelius?] Collins and Susan Coghlan
January 31, 1840, Richard son of Richard Pier and Ellen Driscol, sponsors: Thomas Lowry and ? Reily
more in that family, most likely. same parish.
Betty, 1827, Richard and Ellen
Dan, 1830 Richard and Ellen
Ellen, 1832 Richard and Ellen
Pat, 1836, Dick and Ellen
Honora 1845, Richard and Ellen
But no Mariah.
There are these 3 children named Maria Pier, or variants, baptized in Schull West in 1835 +/- 2 years. I didn't widen the year +/- .
Mary Peare baptized 1834, parents Richard and Sally
Mary Peare baptized 1835, parents Andrew and Margaret
Mary Peare baptized 1835, parents Jerry and Mary
I haven't looked at the actual register.
this link will take you to the Schull West parish records.
https://registers.nli.ie/parishes/0057?locale=en-----
This has to be a coincidence, since "your" Timothy and Bridget were in Buffalo long before this, but I thought it was interesting, showing the occurrence of both names in the area.
Baptism, Schull West Parish
January 2, 1859
John, son of Timothy Coghlan and Bridget Peir
sponsors Michael Peir and Julia Perry
family from Thoin ? Froin/r ?
https://registers.nli.ie/registers/vtls000633997?locale=en#page/149/mode/1up-----
The obituaries of both Matthew and Michael Danahy said they arrived in Buffalo in 1849. They ran a meat packing business, Danahy Packing. I imagine you have that by now. One of the earlier records gave "cattle" as one of their occupations, I don't remember which.
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The Danahys in 1850
Interesting household. Look and see if you think Bridget's age is 16 or 46, as it was transcribed. I say "16." All the other 4's on the page are open, not closed. The 1850 census does not include a column for relationship to the head. I've seen people listed out of age order before. And just because she is checked off in the
"people over 20 who cannot read or write" column it means nothing, since the enumerator also checked off Daniel, age 18, and John, age 15.
1850 Census Buffalo, Dennis Danahy [indexed as Danaha]
Dennis Danaha, 50, born in Ireland, no occupation,
Bridget Danaha, 16, born in Ireland
Matthew Danaha, 20, born in Ireland, laborer
Daniel Danaha, 18, born in Ireland, laborer
John Danaha, 15, born in Ireland
Ellen Danaha, 13, born in Ireland
Michael Danaha, 10, born in Ireland
Dennis Danaha, 6, born in Ireland
Zady Danaha, 2, born in Ireland
https://www.familysearch.org/ark:/61903/1:1:MCYC-49Y?lang=enIf that Bridget is 16, then I'd say there is a good chance she is the Bridget who married Timothy Couglin and Dennis is her stepfather. Maybe she was listed first because she was the woman of the house.
If she is Dennis's stepdaughter then he too had a family before marrying Bridget's mother, since Matthew and Daniel are older than Bridget. Then both Bridget's parents died as well as the mother of some of Timothy's older children. In fact they could be intermingled right down the line, couldn't they? I'm having a bit of trouble picturing the sequence of events.
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Both that Richard Pier in Buffalo in 1880 and the Dennis Danahy household in 1850 have a daughter Ellen in it. - Oh, I just noticed that Timothy and Bridget Coughlin wanted a girl named Ellen badly enough to reuse the name. I assume the first daughter, baptized 1858, died.
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Just got a email message that someone else has posted, so some of this might duplicate that post. I'm going to save it as is.