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I searched on the subscription site Roots Ireland and the earliest Mary Jordan/Jourdan baptismal record with father Daniel in Co. Limerick was in 1834. Likely your Mary was baptized in a parish which no longer has records back to 1821. You may want to add Mary's emigration story to our XO Chronicles site https://irelandxo.com/ireland-xo/history-and-genealogy/ancestor-database