Patrick Murphy born C.1835 Castledermot/Kildare/Ballaghmoon/Athy/Knocknagee.

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Sorry..this search

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Try Birth Reg for William b.1866 by changing criteria

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Birth results for William Murphy from 1866 to 1866

LINK   http://www.rootschat.com/links/01p83/

I see 2 Athy  which is District for Castlecomer, click Athy to get the 2, see if parents are correct

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yes Athy

Gets one the townland...

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Should enable you to locate the relevant parish records.

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https://www.logainm.ie/en/24905?s=Gotham

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https://www.logainm.ie/en/1138  Ballaghmoon

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https://registers.nli.ie/parishes/0459  Athy

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Birth results for William Murphy from 1866 to 1866

LINK   http://www.rootschat.com/links/01p83/

I see 2 Athy  which is District for Castlecomer, click Athy to get the 2, see if parents are correct

Change criteria accordingly if you want to look for the others in Athy reg district  or them marrying about 20 to 25 years after birth...