Hi Kim . . .
Welcome to Ireland Reaching Out . . . .
Using " Roots " (paid serch engine) . . .
When I had a look at " Timogue " . . . I'm presumimg that this is a Townsland of a larger Town/ Village . . . possibly Portlaoise / Rosenallis / Stradbally
Timogue (Tigh Maodhóg) , Barony of Stradbally, Co. Laois . . . . . . as found on . . . https://www.townlands.ie/search/?q=Timogue
MAP . . . (see below)
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So . . . where would your John Corcoran . . . have had his Birth registered . . . ????
When I search Ancestry . . . (see below) . . . the one which tops the list . . . is in Mountmellick. Laois . . . .
https://registers.nli.ie/parishes/0717 . . . . this is the Parish Register ...R,C, . . . here . . . you might find the Parents names . . . IF . . . you find HIM .. . .
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So . . when I search " Roots " . . . they throw up . . 6 /J.Corcorans . . . for Laoise . . . period 1831 - 1841 . . .
ONE only for the 1836 date . . . ( see below - Corcoran (Roots) . . . AUGUST . . . !! . . .
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You indicate in your query . . . JUNE
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So . . .the TWO below . . . point to the same person . . . only one born 1836 . . . Ancestry // Roots
as registered in. . . . MOUNTMELLICK
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Next I serched for a MARRIAGE . . . . on Roots . . . 1870 . . . Spouse . . Margaret . . .NOTHING (for Laoise) . . .
then I searched ALL Ireland . .. . and surprise surprise . . . a Marriage . . . appeared (see below ) for WATERFORD county . . . a long way . . in those years from Laoise.
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So . . here's a question . . . . Could your John Corcoran . . . be from Co.Waterford. . . . . Stradbally, Co,Waterford . . . ???? ( map below)
by coinncidence . . . there is also a Stradbally .Co.Laoise . . .
I dont have a definite answer . . .
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When I search " Ancestry " for a Corcoran . . emigrating to the U.S. . . after 1870 . . . a MRS J. Corcoran shows up ( see below) in 1885 . .
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So . . next I llooked for HENRY . . . searched Roots . . . in Waterford Co . // Laoise . . . NOTHING
BUT . . . when I search Ancestry . . . a HENRY . . crops up . . . back up in Co. Laoise ( see below)
Search . . MATHEW . . .(see below)
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So there you have it . . . Best I could do . . .
I hope you can nuggets in there somewhere . . . . personally it leaves me confused . . .
Was it Laoise . . . or Waterford . . . or Both . . .
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Cheers . . . Eamonn.