That would be a coin of the Irish pound, which has since been replaced by the euro.
Such a coin does not exist. The Irish 10 Pence coin was first issued in 1969.
Éire is the Irish language name for Ireland, which you will see on Irish stamps and coins, so it is an Irish coin.
Ireland does not use the dollar and never has, so there is no such thing as an Irish 1 dollar coin. Ireland was using the pound in 1952, but there was no 1 pound coin. So whatever coin you have, cannot be either an Irish one dollar coin nor an Irish one pound coin from 1952.
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Since 2002 when Ireland changed over to the Euro, the Irish 1 cent is called the Eurocent. There are 100 Eurocents in the Euro. 1 Irish pound, or Punt Éireannach (Irish) The Government of Ireland decided on a single national design for all Irish coin denominations. They show the Celtic harp, a traditional symbol of Ireland, decorated with the year of issue and the inscription "Éire" − the Irish word for Ireland. The harp shown was designed by Jarlath Hayes.
This site might help you http://www.irishcoinage.com/CATALOG.HTM Paul
Please look at the coin again, the US did not coin $25 dollar denominations in 1896.
In Canada, there are six denominations of coin currently in circulation: the penny, the nickel, the dime, the quarter, the loonie and the toonie.
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An Irish "Millennium" coin, with a face value of one Irish punt (or "pound"), is worth about US$7.50 in Uncirculated condition and about US$8.50 in Proof.
1 Cent 2 Cents 5 Cents