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I searched on the subscription site Roots Ireland and found an 1824 marriage record in Mooncoin RC parish for Richard Mackey and Anastasia Carroll both from Poulrone. I then found nine baptismal reocrds from December 1824 to 1843 where the father was Richard and the mother Bridget Carroll including the 1835 William record that you mentioned in your message. I think Anastasia and Bridget were the same person. The children were Anastasia 1824 John 1825 Edmund 1828 Michael 1831 Mary 1834 William 1835 Margaret 1838 Elizabeth 1842 Richard 1843.
Date of Marriage:10-Jan-1824
Parish / District:MOONCOIN
Husband RichardMackey Address Poulrone